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31380602624 = 287311134999
BaseRepresentation
bin11101001110011011…
…011111111100000000
32222222222010210010122
4131032123133330000
51003231413240444
622225511115412
72160432502250
oct351633377400
988888123118
1031380602624
1112343594238
1260b9372b68
132c61411827
14173994b960
15c39e3b4ee
hex74e6dff00

31380602624 has 144 divisors (see below), whose sum is σ = 74565120000. Its totient is φ = 12897239040.

The previous prime is 31380602611. The next prime is 31380602641. The reversal of 31380602624 is 42620608313.

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, 6274877 + ... + 6279875.

Almost surely, 231380602624 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 31380602624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37282560000).

31380602624 is an abundant number, since it is smaller than the sum of its proper divisors (43184517376).

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

31380602624 is a wasteful number, since it uses less digits than its factorization.

31380602624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5166 (or 5152 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

The spelling of 31380602624 in words is "thirty-one billion, three hundred eighty million, six hundred two thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 113 124 128 217 224 226 248 256 434 448 452 496 791 868 896 904 992 1582 1736 1792 1808 1984 3164 3472 3503 3616 3968 4999 6328 6944 7006 7232 7936 9998 12656 13888 14012 14464 19996 24521 25312 27776 28024 28928 34993 39992 49042 50624 55552 56048 69986 79984 98084 101248 112096 139972 154969 159968 196168 202496 224192 279944 309938 319936 392336 448384 559888 564887 619876 639872 784672 896768 1084783 1119776 1129774 1239752 1279744 1569344 2169566 2239552 2259548 2479504 3138688 3954209 4339132 4479104 4519096 4959008 6277376 7908418 8678264 8958208 9038192 9918016 15816836 17356528 17511497 18076384 19836032 31633672 34713056 35022994 36152768 39672064 63267344 69426112 70045988 72305536 122580479 126534688 138852224 140091976 144611072 245160958 253069376 277704448 280183952 490321916 506138752 560367904 980643832 1012277504 1120735808 1961287664 2241471616 3922575328 4482943232 7845150656 15690301312 31380602624