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31826997664 = 2571131213441
BaseRepresentation
bin11101101001000010…
…010111000110100000
310001011002010000000021
4131221002113012200
51010140202411124
622342055003224
72204463005440
oct355102270640
9101132100007
1031826997664
1112552568460
126202969514
133002a486c7
14177cd4c120
15c642167e4
hex7690971a0

31826997664 has 144 divisors (see below), whose sum is σ = 80728135488. Its totient is φ = 11999232000.

The previous prime is 31826997647. The next prime is 31826997667. The reversal of 31826997664 is 46679962813.

It is a super-2 number, since 2×318269976642 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31826997667) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2361184 + ... + 2374624.

It is an arithmetic number, because the mean of its divisors is an integer number (560612052).

Almost surely, 231826997664 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 31826997664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40364067744).

31826997664 is an abundant number, since it is smaller than the sum of its proper divisors (48901137824).

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

31826997664 is a wasteful number, since it uses less digits than its factorization.

31826997664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13531 (or 13492 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 61.

The spelling of 31826997664 in words is "thirty-one billion, eight hundred twenty-six million, nine hundred ninety-seven thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 31 32 44 56 62 77 88 112 124 154 176 217 224 248 308 341 352 434 496 616 682 868 961 992 1232 1364 1736 1922 2387 2464 2728 3472 3844 4774 5456 6727 6944 7688 9548 10571 10912 13441 13454 15376 19096 21142 26882 26908 30752 38192 42284 53764 53816 73997 76384 84568 94087 107528 107632 147851 147994 169136 188174 215056 215264 295702 295988 338272 376348 416671 430112 591404 591976 752696 833342 1034957 1182808 1183952 1505392 1666684 2069914 2365616 2367904 2916697 3010784 3333368 4139828 4583381 4731232 5833394 6666736 8279656 9166762 11666788 12916801 13333472 16559312 18333524 23333576 25833602 32083667 33118624 36667048 46667152 51667204 64167334 73334096 90417607 93334304 103334408 128334668 142084811 146668192 180835214 206668816 256669336 284169622 361670428 413337632 513338672 568339244 723340856 994593677 1026677344 1136678488 1446681712 1989187354 2273356976 2893363424 3978374708 4546713952 7956749416 15913498832 31826997664