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200312578930896 = 24341710303882451
BaseRepresentation
bin101101100010111011101000…
…000111000111100011010000
3222021020200210001000222120000
4231202323220013013203100
5202223410130201242041
61550010154532450000
760123051304352115
oct5542735007074320
9867220701028500
10200312578930896
115890a0a6739603
121a571b05479900
1387a051a181c63
14376727560490c
1518258cac28bb6
hexb62ee81c78d0

200312578930896 has 200 divisors, whose sum is σ = 613926685177344. Its totient is φ = 62836991308800.

The previous prime is 200312578930819. The next prime is 200312578930909. The reversal of 200312578930896 is 698039875213002.

200312578930896 is a `hidden beast` number, since 2 + 0 + 0 + 312 + 5 + 7 + 8 + 9 + 308 + 9 + 6 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its 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 (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 226554471 + ... + 227436921.

Almost surely, 2200312578930896 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 200312578930896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306963342588672).

200312578930896 is an abundant number, since it is smaller than the sum of its proper divisors (413614106246448).

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

200312578930896 is a wasteful number, since it uses less digits than its factorization.

200312578930896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892791 (or 892776 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 200312578930896 in words is "two hundred trillion, three hundred twelve billion, five hundred seventy-eight million, nine hundred thirty thousand, eight hundred ninety-six".