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96002319655872 = 26377257937993
BaseRepresentation
bin10101110101000001001000…
…001010010010001111000000
3110120220201202201110120000000
4111311001020022102033000
5100040400222312441442
6540102505023000000
726135636655654210
oct2565011012221700
9416821681416000
1096002319655872
112865339a741383
12a925a86739000
134174c97ab5266
14199c7739ba240
15b173922b9d4c
hex5750482923c0

96002319655872 has 448 divisors, whose sum is σ = 326664752409600. Its totient is φ = 27417876903936.

The previous prime is 96002319655811. The next prime is 96002319655883. The reversal of 96002319655872 is 27855691320069.

96002319655872 is a `hidden beast` number, since 9 + 6 + 0 + 0 + 2 + 3 + 1 + 9 + 6 + 558 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2526823308 + ... + 2526861300.

Almost surely, 296002319655872 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 96002319655872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163332376204800).

96002319655872 is an abundant number, since it is smaller than the sum of its proper divisors (230662432753728).

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

96002319655872 is an equidigital number, since it uses as much as digits as its factorization.

96002319655872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40612 (or 40584 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 96002319655872 in words is "ninety-six trillion, two billion, three hundred nineteen million, six hundred fifty-five thousand, eight hundred seventy-two".