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31427975808 = 273381111213
BaseRepresentation
bin11101010001010000…
…001101101010000000
310000010021021120221000
4131101100031222000
51003331030211213
622234322332000
72161546246425
oct352120155200
9100107246830
1031427975808
1112368300429
1261111ba000
132c6b18a3b8
141741d5dd4c
15c3e197c73
hex75140da80

31427975808 has 128 divisors (see below), whose sum is σ = 92878833600. Its totient is φ = 10462141440.

The previous prime is 31427975807. The next prime is 31427975827. The reversal of 31427975808 is 80857972413.

It is a happy number.

31427975808 is a `hidden beast` number, since 31 + 4 + 27 + 9 + 7 + 580 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (31427975807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2797210 + ... + 2808422.

Almost surely, 231427975808 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 31427975808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46439416800).

31427975808 is an abundant number, since it is smaller than the sum of its proper divisors (61450857792).

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

31427975808 is a wasteful number, since it uses less digits than its factorization.

31427975808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12047 (or 12029 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 31427975808 in words is "thirty-one billion, four hundred twenty-seven million, nine hundred seventy-five thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 811 864 1152 1622 1728 2433 3244 3456 4866 6488 7299 9732 11213 12976 14598 19464 21897 22426 25952 29196 33639 38928 43794 44852 51904 58392 67278 77856 87588 89704 100917 103808 116784 134556 155712 175176 179408 201834 233568 269112 302751 311424 350352 358816 403668 467136 538224 605502 700704 717632 807336 934272 1076448 1211004 1401408 1435264 1614672 2152896 2422008 2802816 3229344 4305792 4844016 6458688 9093743 9688032 12917376 18187486 19376064 27281229 36374972 38752128 54562458 72749944 81843687 109124916 145499888 163687374 218249832 245531061 290999776 327374748 436499664 491062122 581999552 654749496 872999328 982124244 1163999104 1309498992 1745998656 1964248488 2618997984 3491997312 3928496976 5237995968 7856993952 10475991936 15713987904 31427975808