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61460186278568 = 237111032184144351
BaseRepresentation
bin11011111100101110100001…
…00100100010101010101000
322001121112111001111001100112
431332113100210202222220
531023430430141403233
6334414230401553452
715642231465501410
oct1576272044425250
9261545431431315
1061460186278568
1118646133988290
126a87490045888
13283a8946a413c
141126990445640
15718ac19ae048
hex37e5d0922aa8

61460186278568 has 128 divisors (see below), whose sum is σ = 145077960867840. Its totient is φ = 23711425920000.

The previous prime is 61460186278559. The next prime is 61460186278657. The reversal of 61460186278568 is 86587268106416.

It is a super-2 number, since 2×614601862785682 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 61460186278498 and 61460186278507.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1385745593 + ... + 1385789943.

It is an arithmetic number, because the mean of its divisors is an integer number (1133421569280).

Almost surely, 261460186278568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61460186278568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72538980433920).

61460186278568 is an abundant number, since it is smaller than the sum of its proper divisors (83617774589272).

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

61460186278568 is a wasteful number, since it uses less digits than its factorization.

61460186278568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66319 (or 66315 counting only the distinct ones).

The product of its (nonzero) digits is 185794560, while the sum is 68.

The spelling of 61460186278568 in words is "sixty-one trillion, four hundred sixty billion, one hundred eighty-six million, two hundred seventy-eight thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 103 154 206 308 412 616 721 824 1133 1442 2266 2884 4532 5768 7931 9064 15862 21841 31724 43682 44351 63448 87364 88702 152887 174728 177404 240251 305774 310457 354808 480502 487861 611548 620914 961004 975722 1223096 1241828 1681757 1922008 1951444 2249623 2483656 3363514 3415027 3902888 4499246 4568153 6727028 6830054 8998492 9136306 13454056 13660108 15747361 17996984 18272612 24745853 27320216 31494722 31977071 36545224 49491706 50249683 62989444 63954142 98983412 100499366 125978888 127908284 173220971 197966824 200998732 255816568 346441942 351747781 401997464 692883884 703495562 968670191 1385767768 1406991124 1937340382 2813982248 3874680764 6780691337 7749361528 10655372101 13561382674 21310744202 27122765348 42621488404 54245530696 74587604707 85242976808 99773029673 149175209414 199546059346 298350418828 399092118692 596700837656 698411207711 798184237384 1097503326403 1396822415422 2195006652806 2793644830844 4390013305612 5587289661688 7682523284821 8780026611224 15365046569642 30730093139284 61460186278568