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31187689792 = 2671513491321
BaseRepresentation
bin11101000010111011…
…100110000101000000
32222111112010210110221
4131002323212011000
51002333022033132
622154420232424
72152600663210
oct350273460500
988445123427
1031187689792
1112254701a46
12606483b714
132c3046931c
14171c092240
15c28031e97
hex742ee6140

31187689792 has 112 divisors (see below), whose sum is σ = 71455686400. Its totient is φ = 13229568000.

The previous prime is 31187689777. The next prime is 31187689823. The reversal of 31187689792 is 29798678113.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 31187689792.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23608492 + ... + 23609812.

It is an arithmetic number, because the mean of its divisors is an integer number (637997200).

Almost surely, 231187689792 is an apocalyptic number.

31187689792 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 31187689792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35727843200).

31187689792 is an abundant number, since it is smaller than the sum of its proper divisors (40267996608).

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

31187689792 is a wasteful number, since it uses less digits than its factorization.

31187689792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1840 (or 1830 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 61.

The spelling of 31187689792 in words is "thirty-one billion, one hundred eighty-seven million, six hundred eighty-nine thousand, seven hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 151 224 302 349 448 604 698 1057 1208 1321 1396 2114 2416 2443 2642 2792 4228 4832 4886 5284 5584 8456 9247 9664 9772 10568 11168 16912 18494 19544 21136 22336 33824 36988 39088 42272 52699 67648 73976 78176 84544 105398 147952 156352 199471 210796 295904 368893 398942 421592 461029 591808 737786 797884 843184 922058 1396297 1475572 1595768 1686368 1844116 2792594 2951144 3191536 3227203 3372736 3688232 5585188 5902288 6383072 6454406 7376464 11170376 11804576 12766144 12908812 14752928 22340752 23609152 25817624 29505856 44681504 51635248 69615379 89363008 103270496 139230758 206540992 278461516 487307653 556923032 974615306 1113846064 1949230612 2227692128 3898461224 4455384256 7796922448 15593844896 31187689792