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999968000256 = 28328322512
BaseRepresentation
bin11101000110100101011…
…11001100100100000000
310112121002111012200002100
432203102233030210000
5112340413302002011
62043213504350400
7132150065521221
oct16432257144400
93477074180070
10999968000256
113560a195a025
12141973315400
13733b1773594
14365820b7248
151b028a44d56
hexe8d2bcc900

999968000256 has 243 divisors, whose sum is σ = 2929982631667. Its totient is φ = 327994752000.

The previous prime is 999968000243. The next prime is 999968000407. The reversal of 999968000256 is 652000869999.

The square root of 999968000256 is 999984.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 999968000193 and 999968000202.

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 26 ways as a sum of consecutive naturals, for example, 3983936131 + ... + 3983936381.

Almost surely, 2999968000256 is an apocalyptic number.

999968000256 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

999968000256 is the 999984-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 999968000256

999968000256 is an abundant number, since it is smaller than the sum of its proper divisors (1930014631411).

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

999968000256 is an frugal number, since it uses more digits than its factorization.

999968000256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 18895680, while the sum is 63.

The spelling of 999968000256 in words is "nine hundred ninety-nine billion, nine hundred sixty-eight million, two hundred fifty-six", and thus it is an aban number.