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96794961984000 = 293353723595897
BaseRepresentation
bin10110000000100011010101…
…010100110011101000000000
3110200201111201022211211122000
4112000203111110303220000
5100141342040231442000
6541510554110544000
726250130251410640
oct2600432524635000
9420644638754560
1096794961984000
1128929570667315
12aa33618b08000
134201958617827
1419c8c88abc520
15b2ccd4691000
hex5808d5533a00

96794961984000 has 2560 divisors, whose sum is σ = 433728011059200. Its totient is φ = 20800408780800.

The previous prime is 96794961983983. The next prime is 96794961984121. The reversal of 96794961984000 is 48916949769.

96794961984000 is a `hidden beast` number, since 9 + 6 + 7 + 9 + 496 + 1 + 98 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 96794961984000.

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 255 ways as a sum of consecutive naturals, for example, 16414269052 + ... + 16414274948.

It is an arithmetic number, because the mean of its divisors is an integer number (169425004320).

Almost surely, 296794961984000 is an apocalyptic number.

96794961984000 is a gapful number since it is divisible by the number (90) 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 96794961984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216864005529600).

96794961984000 is an abundant number, since it is smaller than the sum of its proper divisors (336933049075200).

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

96794961984000 is a wasteful number, since it uses less digits than its factorization.

96794961984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6028 (or 5996 counting only the distinct ones).

The product of its (nonzero) digits is 211631616, while the sum is 72.

The spelling of 96794961984000 in words is "ninety-six trillion, seven hundred ninety-four billion, nine hundred sixty-one million, nine hundred eighty-four thousand".