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31417021664 = 257197381819
BaseRepresentation
bin11101010000100110…
…011011010011100000
310000002111200001122222
4131100212123103200
51003320224143124
622233251450212
72161354164230
oct352046332340
9100074601588
1031417021664
11123620a9416
1261095b6968
132c68b23462
14174070bcc0
15c3d23225e
hex75099b4e0

31417021664 has 48 divisors (see below), whose sum is σ = 74408745600. Its totient is φ = 12755781504.

The previous prime is 31417021553. The next prime is 31417021681. The reversal of 31417021664 is 46612071413.

It is a super-3 number, since 3×314170216643 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3686654 + ... + 3695165.

It is an arithmetic number, because the mean of its divisors is an integer number (1550182200).

Almost surely, 231417021664 is an apocalyptic number.

It is an amenable number.

31417021664 is an abundant number, since it is smaller than the sum of its proper divisors (42991723936).

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

31417021664 is a wasteful number, since it uses less digits than its factorization.

31417021664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7381855 (or 7381847 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The spelling of 31417021664 in words is "thirty-one billion, four hundred seventeen million, twenty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 224 266 304 532 608 1064 2128 4256 7381819 14763638 29527276 51672733 59054552 103345466 118109104 140254561 206690932 236218208 280509122 413381864 561018244 826763728 981781927 1122036488 1653527456 1963563854 2244072976 3927127708 4488145952 7854255416 15708510832 31417021664