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31979225088 = 2143424097
BaseRepresentation
bin11101110010000111…
…000100000000000000
310001112200112221210000
4131302013010000000
51010443140200323
622405133440000
72211321633246
oct356207040000
9101480487700
1031979225088
1112620491148
126245940000
1330284473c5
141795256796
15c72785e43
hex7721c4000

31979225088 has 150 divisors (see below), whose sum is σ = 95543919086. Its totient is φ = 10659299328.

The previous prime is 31979225041. The next prime is 31979225107. The reversal of 31979225088 is 88052297913.

31979225088 is a `hidden beast` number, since 319 + 79 + 2 + 250 + 8 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 30259298304 + 1719926784 = 173952^2 + 41472^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1315056 + ... + 1339152.

Almost surely, 231979225088 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 31979225088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47771959543).

31979225088 is an abundant number, since it is smaller than the sum of its proper divisors (63564693998).

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

31979225088 is an frugal number, since it uses more digits than its factorization.

31979225088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24137 (or 24102 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 31979225088 in words is "thirty-one billion, nine hundred seventy-nine million, two hundred twenty-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2048 2304 2592 3072 3456 4096 4608 5184 6144 6912 8192 9216 10368 12288 13824 16384 18432 20736 24097 24576 27648 36864 41472 48194 49152 55296 72291 73728 82944 96388 110592 144582 147456 165888 192776 216873 221184 289164 331776 385552 433746 442368 578328 650619 663552 771104 867492 1156656 1301238 1327104 1542208 1734984 1951857 2313312 2602476 3084416 3469968 3903714 4626624 5204952 6168832 6939936 7807428 9253248 10409904 12337664 13879872 15614856 18506496 20819808 24675328 27759744 31229712 37012992 41639616 49350656 55519488 62459424 74025984 83279232 98701312 111038976 124918848 148051968 166558464 197402624 222077952 249837696 296103936 333116928 394805248 444155904 499675392 592207872 666233856 888311808 999350784 1184415744 1332467712 1776623616 1998701568 2664935424 3553247232 3997403136 5329870848 7994806272 10659741696 15989612544 31979225088