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263904128656 = 247426212
BaseRepresentation
bin1111010111000111101…
…0010110111010010000
3221020011221011202221021
43311301322112322100
513310433424104111
6321122541205224
725031535040000
oct3656172267220
9836157152837
10263904128656
11a1a15000973
1243190b60814
131bb6987155c
14cab7290000
156ce8810d71
hex3d71e96e90

263904128656 has 75 divisors (see below), whose sum is σ = 596725468553. Its totient is φ = 113058617280.

The previous prime is 263904128561. The next prime is 263904128693. The reversal of 263904128656 is 656821409362.

The square root of 263904128656 is 513716.

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

It can be written as a sum of positive squares in only one way, i.e., 217420768656 + 46483360000 = 466284^2 + 215600^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 100687026 + ... + 100689646.

Almost surely, 2263904128656 is an apocalyptic number.

263904128656 is the 513716-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 263904128656

263904128656 is an abundant number, since it is smaller than the sum of its proper divisors (332821339897).

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

263904128656 is an frugal number, since it uses more digits than its factorization.

263904128656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5278 (or 2630 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 52.

The spelling of 263904128656 in words is "two hundred sixty-three billion, nine hundred four million, one hundred twenty-eight thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 343 392 686 784 1372 2401 2621 2744 4802 5242 5488 9604 10484 18347 19208 20968 36694 38416 41936 73388 128429 146776 256858 293552 513716 899003 1027432 1798006 2054864 3596012 6293021 6869641 7192024 12586042 13739282 14384048 25172084 27478564 48087487 50344168 54957128 96174974 100688336 109914256 192349948 336612409 384699896 673224818 769399792 1346449636 2356286863 2692899272 4712573726 5385798544 9425147452 16494008041 18850294904 32988016082 37700589808 65976032164 131952064328 263904128656