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31601114832 = 2437736531973
BaseRepresentation
bin11101011011100100…
…101011111011010000
310000120100001222000110
4131123210223323100
51004204341133312
622303425321320
72166051021060
oct353344537320
9100510058013
1031601114832
1112447007331
12615b196240
132c97ccb421
14175ad4d3a0
15c4e49843c
hex75b92bed0

31601114832 has 160 divisors (see below), whose sum is σ = 94769434368. Its totient is φ = 8887062528.

The previous prime is 31601114813. The next prime is 31601114861. The reversal of 31601114832 is 23841110613.

It is a self number, because there is not a number n which added to its sum of digits gives 31601114832.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16015798 + ... + 16017770.

Almost surely, 231601114832 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 31601114832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47384717184).

31601114832 is an abundant number, since it is smaller than the sum of its proper divisors (63168319536).

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

31601114832 is a wasteful number, since it uses less digits than its factorization.

31601114832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2717 (or 2711 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 31601114832 in words is "thirty-one billion, six hundred one million, one hundred fourteen thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 73 84 112 146 168 219 292 336 438 511 584 653 876 1022 1168 1306 1533 1752 1959 1973 2044 2612 3066 3504 3918 3946 4088 4571 5224 5919 6132 7836 7892 8176 9142 10448 11838 12264 13713 13811 15672 15784 18284 23676 24528 27426 27622 31344 31568 36568 41433 47352 47669 54852 55244 73136 82866 94704 95338 109704 110488 143007 144029 165732 190676 219408 220976 286014 288058 331464 333683 381352 432087 572028 576116 662928 667366 762704 864174 1001049 1008203 1144056 1152232 1288369 1334732 1728348 2002098 2016406 2288112 2304464 2576738 2669464 3024609 3456696 3865107 4004196 4032812 5153476 5338928 6049218 6913392 7730214 8008392 8065624 9018583 10306952 12098436 15460428 16016784 16131248 18037166 20613904 24196872 27055749 30920856 36074332 48393744 54111498 61841712 72148664 94050937 108222996 144297328 188101874 216445992 282152811 376203748 432891984 564305622 658356559 752407496 1128611244 1316713118 1504814992 1975069677 2257222488 2633426236 3950139354 4514444976 5266852472 7900278708 10533704944 15800557416 31601114832