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61402631897358 = 23417192774236329
BaseRepresentation
bin11011111011000011010100…
…00100000000000100001110
322001102000220222202112220000
431331201222010000010032
531022010042231203413
6334331551335505130
715635123313356553
oct1575415204000416
9261360828675800
1061402631897358
1118623789a40884
126a782a92281a6
132835321815a7b
141123c906c8a2a
15717353ce4073
hex37d86a10010e

61402631897358 has 160 divisors (see below), whose sum is σ = 153901802023200. Its totient is φ = 18183810963456.

The previous prime is 61402631897311. The next prime is 61402631897359. The reversal of 61402631897358 is 85379813620416.

61402631897358 is a `hidden beast` number, since 6 + 1 + 4 + 0 + 263 + 18 + 9 + 7 + 358 = 666.

It is a super-2 number, since 2×614026318973582 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 61402631897295 and 61402631897304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61402631897359) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12376138 + ... + 16612466.

It is an arithmetic number, because the mean of its divisors is an integer number (961886262645).

It is a 2-persistent number, because it is pandigital, and so is 2⋅61402631897358 = 122805263794716, but 3⋅61402631897358 = 184207895692074 is not.

Almost surely, 261402631897358 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61402631897358, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76950901011600).

61402631897358 is an abundant number, since it is smaller than the sum of its proper divisors (92499170125842).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61402631897358 is a wasteful number, since it uses less digits than its factorization.

61402631897358 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4236656 (or 4236647 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 61402631897358 in words is "sixty-one trillion, four hundred two billion, six hundred thirty-one million, eight hundred ninety-seven thousand, three hundred fifty-eight".

Divisors: 1 2 3 6 9 17 18 19 27 34 38 51 54 57 81 102 114 153 162 171 277 306 323 342 459 513 554 646 831 918 969 1026 1377 1539 1662 1938 2493 2754 2907 3078 4709 4986 5263 5814 7479 8721 9418 10526 14127 14958 15789 17442 22437 26163 28254 31578 42381 44874 47367 52326 84762 89471 94734 127143 142101 178942 254286 268413 284202 381429 426303 536826 762858 805239 852606 1610478 2415717 4236329 4831434 7247151 8472658 12708987 14494302 25417974 38126961 72017593 76253922 80490251 114380883 144035186 160980502 216052779 228761766 241470753 343142649 432105558 482941506 648158337 686285298 724412259 1173463133 1296316674 1368334267 1448824518 1944475011 2173236777 2346926266 2736668534 3520389399 3888950022 4105002801 4346473554 5833425033 6519710331 7040778798 8210005602 10561168197 11666850066 12315008403 13039420662 19948873261 21122336394 22295799527 24630016806 31683504591 36945025209 39897746522 44591599054 59846619783 63367009182 66887398581 73890050418 95050513773 110835075627 119693239566 133774797162 179539859349 190101027546 200662195743 221670151254 359079718698 379028591959 401324391486 538619578047 601986587229 758057183918 1077239156094 1137085775877 1203973174458 1615858734141 1805959761687 2274171551754 3231717468282 3411257327631 3611919523374 6822514655262 10233771982893 20467543965786 30701315948679 61402631897358