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87968155082625 = 335344635840161
BaseRepresentation
bin10100000000000110101110…
…101000101001111110000001
3102112110200011222102000021000
4110000012232220221332001
543012232240200121000
6511032002413322213
724346326613605066
oct2400065650517601
9375420158360230
1087968155082625
11260360a3245644
129a48999196369
133a114910a53ac
1417a1977b7cc6d
15a283c0ce8000
hex5001aea29f81

87968155082625 has 64 divisors (see below), whose sum is σ = 162679814968320. Its totient is φ = 46905829056000.

The previous prime is 87968155082623. The next prime is 87968155082657. The reversal of 87968155082625 is 52628055186978.

It is a happy number.

87968155082625 is a `hidden beast` number, since 8 + 7 + 9 + 6 + 8 + 1 + 550 + 8 + 2 + 62 + 5 = 666.

It is not a de Polignac number, because 87968155082625 - 21 = 87968155082623 is a prime.

It is not an unprimeable number, because it can be changed into a prime (87968155082623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12142545 + ... + 17982705.

It is an arithmetic number, because the mean of its divisors is an integer number (2541872108880).

Almost surely, 287968155082625 is an apocalyptic number.

It is an amenable number.

87968155082625 is a deficient number, since it is larger than the sum of its proper divisors (74711659885695).

87968155082625 is a wasteful number, since it uses less digits than its factorization.

87968155082625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5844648 (or 5844632 counting only the distinct ones).

The product of its (nonzero) digits is 580608000, while the sum is 72.

The spelling of 87968155082625 in words is "eighty-seven trillion, nine hundred sixty-eight billion, one hundred fifty-five million, eighty-two thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 125 135 225 375 675 1125 3375 4463 13389 22315 40167 66945 111575 120501 200835 334725 557875 602505 1004175 1673625 3012525 5020875 5840161 15062625 17520483 29200805 52561449 87602415 146004025 157684347 262807245 438012075 730020125 788421735 1314036225 2190060375 3942108675 6570181125 19710543375 26064638543 78193915629 130323192715 234581746887 390969578145 651615963575 703745240661 1172908734435 1954847890725 3258079817875 3518726203305 5864543672175 9774239453625 17593631016525 29322718360875 87968155082625