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31299010632 = 23337917910247
BaseRepresentation
bin11101001001100100…
…010000000001001000
32222210021121110222000
4131021210100001020
51003100021320012
622213434231000
72155422125601
oct351144200110
988707543860
1031299010632
1112301525a3a
126095b85460
132c4a544946
14172cb8cda8
15c32bc0ddc
hex749910048

31299010632 has 128 divisors (see below), whose sum is σ = 88542720000. Its totient is φ = 10242393408.

The previous prime is 31299010601. The next prime is 31299010643. The reversal of 31299010632 is 23601099213.

It is a happy number.

31299010632 is a `hidden beast` number, since 3 + 1 + 2 + 9 + 9 + 0 + 10 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 3049333 + ... + 3059579.

It is an arithmetic number, because the mean of its divisors is an integer number (691740000).

Almost surely, 231299010632 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 31299010632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44271360000).

31299010632 is an abundant number, since it is smaller than the sum of its proper divisors (57243709368).

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

31299010632 is a wasteful number, since it uses less digits than its factorization.

31299010632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10520 (or 10510 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The spelling of 31299010632 in words is "thirty-one billion, two hundred ninety-nine million, ten thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 79 108 158 179 216 237 316 358 474 537 632 711 716 948 1074 1422 1432 1611 1896 2133 2148 2844 3222 4266 4296 4833 5688 6444 8532 9666 10247 12888 14141 17064 19332 20494 28282 30741 38664 40988 42423 56564 61482 81976 84846 92223 113128 122964 127269 169692 184446 245928 254538 276669 339384 368892 381807 509076 553338 737784 763614 809513 1018152 1106676 1527228 1619026 1834213 2213352 2428539 3054456 3238052 3668426 4857078 5502639 6476104 7285617 7336852 9714156 11005278 14571234 14673704 16507917 19428312 21856851 22010556 29142468 33015834 43713702 44021112 49523751 58284936 66031668 87427404 99047502 132063336 144902827 174854808 198095004 289805654 396190008 434708481 579611308 869416962 1159222616 1304125443 1738833924 2608250886 3477667848 3912376329 5216501772 7824752658 10433003544 15649505316 31299010632