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256748943616 = 2811228792
BaseRepresentation
bin1110111100011101101…
…1011111100100000000
3220112201021102201021221
43233013123133210000
513201310212143431
6313540540524424
724356323004134
oct3570733374400
9815637381257
10256748943616
11999830a3500
1241914850714
131b299372659
14c5d8c993c4
156a2a591111
hex3bc76df900

256748943616 has 81 divisors (see below), whose sum is σ = 563516641723. Its totient is φ = 116663528960.

The previous prime is 256748943593. The next prime is 256748943667. The reversal of 256748943616 is 616349847652.

The square root of 256748943616 is 506704.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 89178465 + ... + 89181343.

Almost surely, 2256748943616 is an apocalyptic number.

256748943616 is the 506704-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256748943616

256748943616 is an abundant number, since it is smaller than the sum of its proper divisors (306767698107).

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

256748943616 is an frugal number, since it uses more digits than its factorization.

256748943616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5796 (or 2892 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 61.

The spelling of 256748943616 in words is "two hundred fifty-six billion, seven hundred forty-eight million, nine hundred forty-three thousand, six hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 704 968 1408 1936 2816 2879 3872 5758 7744 11516 15488 23032 30976 31669 46064 63338 92128 126676 184256 253352 348359 368512 506704 696718 737024 1013408 1393436 2026816 2786872 4053632 5573744 8107264 8288641 11147488 16577282 22294976 33154564 44589952 66309128 89179904 91175051 132618256 182350102 265236512 364700204 530473024 729400408 1002925561 1060946048 1458800816 2005851122 2121892096 2917601632 4011702244 5835203264 8023404488 11670406528 16046808976 23340813056 32093617952 64187235904 128374471808 256748943616