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31799439232 = 271167521647
BaseRepresentation
bin11101100111011001…
…001110111110000000
310001002011020212221121
4131213121032332000
51010111124023412
622335232202024
72204006526241
oct354731167600
9101064225847
1031799439232
1112538a553a0
1261b5699314
132cca119b42
141779416cc8
15c61ac1107
hex76764ef80

31799439232 has 128 divisors (see below), whose sum is σ = 70384308480. Its totient is φ = 14189260800.

The previous prime is 31799439229. The next prime is 31799439257. The reversal of 31799439232 is 23293499713.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×317994392322 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 31799439232.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49148733 + ... + 49149379.

It is an arithmetic number, because the mean of its divisors is an integer number (549877410).

Almost surely, 231799439232 is an apocalyptic number.

31799439232 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31799439232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35192154240).

31799439232 is an abundant number, since it is smaller than the sum of its proper divisors (38584869248).

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

31799439232 is a wasteful number, since it uses less digits than its factorization.

31799439232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260 (or 1248 counting only the distinct ones).

The product of its digits is 2204496, while the sum is 52.

The spelling of 31799439232 in words is "thirty-one billion, seven hundred ninety-nine million, four hundred thirty-nine thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 67 88 128 134 176 268 352 521 536 647 704 737 1042 1072 1294 1408 1474 2084 2144 2588 2948 4168 4288 5176 5731 5896 7117 8336 8576 10352 11462 11792 14234 16672 20704 22924 23584 28468 33344 34907 41408 43349 45848 47168 56936 66688 69814 82816 86698 91696 94336 113872 139628 173396 183392 227744 279256 337087 346792 366784 383977 455488 476839 558512 674174 693584 733568 767954 910976 953678 1117024 1348348 1387168 1535908 1907356 2234048 2696696 2774336 3071816 3707957 3814712 4468096 5393392 5548672 6143632 7415914 7629424 10786784 12287264 14831828 15258848 21573568 22584829 24574528 29663656 30517696 43147136 45169658 49149056 59327312 61035392 90339316 118654624 180678632 237309248 248433119 361357264 474618496 496866238 722714528 993732476 1445429056 1987464952 2890858112 3974929904 7949859808 15899719616 31799439232