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76121096193756 = 2235167468945419
BaseRepresentation
bin10001010011101101010010…
…111001100000011011011100
3100222112002212002000100100000
4101103231102321200123130
534434132001111200011
6425521314314134300
722014365503560615
oct2123552271403334
9328462762010300
1076121096193756
1122288859368249
128654941121390
13336225b39b203
1414b23d03c8c0c
158c013ecb7356
hex453b52e606dc

76121096193756 has 72 divisors (see below), whose sum is σ = 200738652266880. Its totient is φ = 25221760361712.

The previous prime is 76121096193743. The next prime is 76121096193773. The reversal of 76121096193756 is 65739169012167.

It is a happy number.

76121096193756 is a `hidden beast` number, since 7 + 6 + 1 + 2 + 1 + 0 + 9 + 619 + 3 + 7 + 5 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 76121096193693 and 76121096193702.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 234310386 + ... + 234635033.

It is an arithmetic number, because the mean of its divisors is an integer number (2788036837040).

Almost surely, 276121096193756 is an apocalyptic number.

It is an amenable number.

76121096193756 is an abundant number, since it is smaller than the sum of its proper divisors (124617556073124).

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

76121096193756 is a wasteful number, since it uses less digits than its factorization.

76121096193756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468945605 (or 468945591 counting only the distinct ones).

The product of its (nonzero) digits is 25719120, while the sum is 63.

The spelling of 76121096193756 in words is "seventy-six trillion, one hundred twenty-one billion, ninety-six million, one hundred ninety-three thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 167 243 324 334 486 501 668 972 1002 1503 2004 3006 4509 6012 9018 13527 18036 27054 40581 54108 81162 162324 468945419 937890838 1406836257 1875781676 2813672514 4220508771 5627345028 8441017542 12661526313 16882035084 25323052626 37984578939 50646105252 75969157878 78313884973 113953736817 151938315756 156627769946 227907473634 234941654919 313255539892 455814947268 469883309838 704824964757 939766619676 1409649929514 2114474894271 2819299859028 4228949788542 6343424682813 8457899577084 12686849365626 19030274048439 25373698731252 38060548096878 76121096193756