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102256329994464 = 25331339971010687
BaseRepresentation
bin10111010000000001101000…
…001110011011000011100000
3111102001121110110021021100110
4113100001220032123003200
5101400331430434310324
61001251524241051320
730352530116511402
oct2720015016330340
9442047413237313
10102256329994464
112a644736512798
12b575b66026b40
134509966005349
141b37338a62b72
15bc4dc6185329
hex5d006839b0e0

102256329994464 has 96 divisors (see below), whose sum is σ = 277090092711936. Its totient is φ = 32984910005760.

The previous prime is 102256329994409. The next prime is 102256329994523. The reversal of 102256329994464 is 464499923652201.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 102256329994395 and 102256329994404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100669729 + ... + 101680415.

It is an arithmetic number, because the mean of its divisors is an integer number (2886355132416).

Almost surely, 2102256329994464 is an apocalyptic number.

It is an amenable number.

102256329994464 is an abundant number, since it is smaller than the sum of its proper divisors (174833762717472).

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

102256329994464 is a wasteful number, since it uses less digits than its factorization.

102256329994464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044728 (or 1044720 counting only the distinct ones).

The product of its (nonzero) digits is 201553920, while the sum is 66.

The spelling of 102256329994464 in words is "one hundred two trillion, two hundred fifty-six billion, three hundred twenty-nine million, nine hundred ninety-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 33997 67994 101991 135988 203982 271976 407964 543952 815928 1010687 1053907 1087904 1631856 2021374 2107814 3032061 3161721 3263712 4042748 4215628 6064122 6323442 8085496 8431256 12128244 12646884 16170992 16862512 24256488 25293768 31331297 32341984 33725024 48512976 50587536 62662594 93993891 97025952 101175072 125325188 187987782 250650376 375975564 501300752 751951128 1002601504 1503902256 3007804512 34360325939 68720651878 103080977817 137441303756 206161955634 274882607512 412323911268 549765215024 824647822536 1065170104109 1099530430048 1649295645072 2130340208218 3195510312327 3298591290144 4260680416436 6391020624654 8521360832872 12782041249308 17042721665744 25564082498616 34085443331488 51128164997232 102256329994464