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31368782874 = 231113175936451
BaseRepresentation
bin11101001101101110…
…011010010000011010
32222222010220021111010
4131031232122100122
51003220402022444
622224405514350
72160230153322
oct351556322032
988863807433
1031368782874
1112337950950
1260b54129b6
132c5bb338b0
141738152282
15c38da42b9
hex74db9a41a

31368782874 has 128 divisors (see below), whose sum is σ = 79366210560. Its totient is φ = 8118144000.

The previous prime is 31368782873. The next prime is 31368782881. The reversal of 31368782874 is 47828786313.

It is a happy number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (31368782873) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 842349 + ... + 878799.

It is an arithmetic number, because the mean of its divisors is an integer number (620048520).

Almost surely, 231368782874 is an apocalyptic number.

31368782874 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31368782874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39683105280).

31368782874 is an abundant number, since it is smaller than the sum of its proper divisors (47997427686).

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

31368782874 is a wasteful number, since it uses less digits than its factorization.

31368782874 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36556.

The product of its digits is 10838016, while the sum is 57.

The spelling of 31368782874 in words is "thirty-one billion, three hundred sixty-eight million, seven hundred eighty-two thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 11 13 17 22 26 33 34 39 51 59 66 78 102 118 143 177 187 221 286 354 374 429 442 561 649 663 767 858 1003 1122 1298 1326 1534 1947 2006 2301 2431 3009 3894 4602 4862 6018 7293 8437 11033 13039 14586 16874 22066 25311 26078 33099 36451 39117 50622 66198 72902 78234 109353 143429 218706 286858 400961 430287 473863 619667 801922 860574 947726 1202883 1239334 1421589 1859001 2150609 2405766 2843178 3718002 4301218 5212493 6451827 6816337 8055671 10424986 12903654 13632674 15637479 16111342 20449011 23656699 24167013 27957917 31274958 36560353 40898022 47313398 48334026 55915834 70970097 73120706 83873751 88612381 109681059 141940194 167747502 177224762 219362118 265837143 307537087 402163883 475284589 531674286 615074174 804327766 922611261 950569178 1206491649 1425853767 1845222522 2412983298 2851707534 5228130479 10456260958 15684391437 31368782874