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60610601100056 = 2374347677791053
BaseRepresentation
bin11011100100000000000010…
…10110010010001100011000
321221121022120000002020211212
431302000001112102030120
530421021002340200211
6332524043055042252
715523654124565620
oct1562000126221430
9257538500066755
1060610601100056
11183488a222a017
12696a8a7810388
1327a872a8b8667
1410d77d68d1880
1570194a46738b
hex372001592318

60610601100056 has 128 divisors (see below), whose sum is σ = 135928644065280. Its totient is φ = 24795341415936.

The previous prime is 60610601100053. The next prime is 60610601100061. The reversal of 60610601100056 is 65000110601606.

It is a junction number, because it is equal to n+sod(n) for n = 60610601099995 and 60610601100031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60610601100053) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76224626 + ... + 77015678.

It is an arithmetic number, because the mean of its divisors is an integer number (1061942531760).

Almost surely, 260610601100056 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 60610601100056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67964322032640).

60610601100056 is an abundant number, since it is smaller than the sum of its proper divisors (75318042965224).

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

60610601100056 is a wasteful number, since it uses less digits than its factorization.

60610601100056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791833 (or 791829 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The spelling of 60610601100056 in words is "sixty trillion, six hundred ten billion, six hundred one million, one hundred thousand, fifty-six".

Divisors: 1 2 4 7 8 14 28 43 47 56 86 94 172 188 301 329 344 376 602 658 677 1204 1316 1354 2021 2408 2632 2708 4042 4739 5416 8084 9478 14147 16168 18956 28294 29111 31819 37912 56588 58222 63638 113176 116444 127276 203777 222733 232888 254552 407554 445466 791053 815108 890932 1368217 1582106 1630216 1781864 2736434 3164212 5472868 5537371 6328424 9577519 10945736 11074742 19155038 22149484 34015279 37179491 38310076 44298968 68030558 74358982 76620152 136061116 148717964 238106953 260256437 272122232 297435928 476213906 520512874 535542881 952427812 1041025748 1071085762 1598718113 1904855624 2082051496 2142171524 3197436226 3748800167 4284343048 6394872452 7497600334 11191026791 12789744904 14995200668 22382053582 23028343883 25170515407 29990401336 44764107164 46056687766 50341030814 89528214328 92113375532 100682061628 161198407181 176193607849 184226751064 201364123256 322396814362 352387215698 644793628724 704774431396 1082332162501 1289587257448 1409548862792 2164664325002 4329328650004 7576325137507 8658657300008 15152650275014 30305300550028 60610601100056