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96074125056 = 28337132329229
BaseRepresentation
bin101100101111001110…
…1101100111100000000
3100011222120102020021000
41121132131230330000
53033224434000211
6112045201532000
76640543405650
oct1313635547400
9304876366230
1096074125056
1137821380158
1216753044000
1390a1372310
1449158c4360
152774757656
hex165e76cf00

96074125056 has 1152 divisors, whose sum is σ = 379104768000. Its totient is φ = 23298637824.

The previous prime is 96074124947. The next prime is 96074125139. The reversal of 96074125056 is 65052147069.

96074125056 is a `hidden beast` number, since 9 + 60 + 74 + 12 + 505 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 419537550 + ... + 419537778.

It is an arithmetic number, because the mean of its divisors is an integer number (329084000).

Almost surely, 296074125056 is an apocalyptic number.

96074125056 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96074125056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189552384000).

96074125056 is an abundant number, since it is smaller than the sum of its proper divisors (283030642944).

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

96074125056 is a wasteful number, since it uses less digits than its factorization.

96074125056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 96074125056 in words is "ninety-six billion, seventy-four million, one hundred twenty-five thousand, fifty-six".