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96914565504 = 273347976151
BaseRepresentation
bin101101001000010001…
…1101110100110000000
3100021011010212000211000
41122100203232212000
53041440112044004
6112304423252000
710000430133441
oct1322043564600
9307133760730
1096914565504
1138112822539
12169485aa000
1391a6514363
1449953792c8
1527c341bc39
hex16908ee980

96914565504 has 256 divisors, whose sum is σ = 295177881600. Its totient is φ = 31286476800.

The previous prime is 96914565487. The next prime is 96914565523. The reversal of 96914565504 is 40556541969.

96914565504 is a `hidden beast` number, since 9 + 6 + 91 + 45 + 6 + 5 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15752829 + ... + 15758979.

It is an arithmetic number, because the mean of its divisors is an integer number (1153038600).

Almost surely, 296914565504 is an apocalyptic number.

96914565504 is a gapful number since it is divisible by the number (94) 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 96914565504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147588940800).

96914565504 is an abundant number, since it is smaller than the sum of its proper divisors (198263316096).

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

96914565504 is a wasteful number, since it uses less digits than its factorization.

96914565504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6318 (or 6300 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The spelling of 96914565504 in words is "ninety-six billion, nine hundred fourteen million, five hundred sixty-five thousand, five hundred four".