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632317593856 = 2813238232
BaseRepresentation
bin10010011001110010001…
…00001100100100000000
32020110010022002220221211
421030321010030210000
540324441301000411
61202252132255504
763453263603164
oct11147104144400
92213108086854
10632317593856
11224189885153
12a2669a71594
1347820217900
142286641aca4
15116ac191221
hex933910c900

632317593856 has 81 divisors (see below), whose sum is σ = 1367080854489. Its totient is φ = 291762551808.

The previous prime is 632317593823. The next prime is 632317593913. The reversal of 632317593856 is 658395713236.

The square root of 632317593856 is 795184.

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., 93538105600 + 538779488256 = 305840^2 + 734016^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 632317593856.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 165396361 + ... + 165400183.

Almost surely, 2632317593856 is an apocalyptic number.

632317593856 is the 795184-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 632317593856

632317593856 is an abundant number, since it is smaller than the sum of its proper divisors (734763260633).

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

632317593856 is an frugal number, since it uses more digits than its factorization.

632317593856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7688 (or 3838 counting only the distinct ones).

The product of its digits is 24494400, while the sum is 58.

The spelling of 632317593856 in words is "six hundred thirty-two billion, three hundred seventeen million, five hundred ninety-three thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 676 832 1352 1664 2704 3328 3823 5408 7646 10816 15292 21632 30584 43264 49699 61168 99398 122336 198796 244672 397592 489344 646087 795184 978688 1292174 1590368 2584348 3180736 5168696 6361472 10337392 12722944 14615329 20674784 29230658 41349568 58461316 82699136 116922632 165398272 189999277 233845264 379998554 467690528 759997108 935381056 1519994216 1870762112 2469990601 3039988432 3741524224 4939981202 6079976864 9879962404 12159953728 19759924808 24319907456 39519849616 48639814912 79039699232 158079398464 316158796928 632317593856