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31820637992 = 231113108725589
BaseRepresentation
bin11101101000101010…
…000110011100101000
310001010122010220011212
4131220222012130220
51010132040403432
622341310412252
72204354650223
oct355052063450
9101118126155
1031820637992
1112549a14330
126200801088
13300162caa0
14177c1745ba
15c638ac2b2
hex768a86728

31820637992 has 64 divisors (see below), whose sum is σ = 70161638400. Its totient is φ = 13338512640.

The previous prime is 31820637971. The next prime is 31820638001. The reversal of 31820637992 is 29973602813.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 31820637992.

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, 1230734 + ... + 1256322.

It is an arithmetic number, because the mean of its divisors is an integer number (1096275600).

Almost surely, 231820637992 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 31820637992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35080819200).

31820637992 is an abundant number, since it is smaller than the sum of its proper divisors (38341000408).

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

31820637992 is a wasteful number, since it uses less digits than its factorization.

31820637992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26706 (or 26702 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 50.

The spelling of 31820637992 in words is "thirty-one billion, eight hundred twenty million, six hundred thirty-seven thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 286 572 1087 1144 2174 4348 8696 11957 14131 23914 25589 28262 47828 51178 56524 95656 102356 113048 155441 204712 281479 310882 332657 562958 621764 665314 1125916 1243528 1330628 2251832 2661256 3659227 7318454 14636908 27815243 29273816 55630486 111260972 222521944 305967673 361598159 611935346 723196318 1223870692 1446392636 2447741384 2892785272 3977579749 7955159498 15910318996 31820637992