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31638540836 = 22723419117251
BaseRepresentation
bin11101011101110011…
…011101001000100100
310000122221111101211202
4131131303131020210
51004243431301321
622311243422032
72200014105560
oct353563351044
9100587441752
1031638540836
111246614a011
12616b824918
132ca29a34a6
141761cd26a0
15c528dc70b
hex75dcdd224

31638540836 has 48 divisors (see below), whose sum is σ = 66186408960. Its totient is φ = 12938772000.

The previous prime is 31638540827. The next prime is 31638540839. The reversal of 31638540836 is 63804583613.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (31638540839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 211211 + ... + 328461.

It is an arithmetic number, because the mean of its divisors is an integer number (1378883520).

Almost surely, 231638540836 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 31638540836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33093204480).

31638540836 is an abundant number, since it is smaller than the sum of its proper divisors (34547868124).

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

31638540836 is a wasteful number, since it uses less digits than its factorization.

31638540836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117704 (or 117702 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 47.

The spelling of 31638540836 in words is "thirty-one billion, six hundred thirty-eight million, five hundred forty thousand, eight hundred thirty-six".

Divisors: 1 2 4 7 14 23 28 46 92 161 322 419 644 838 1676 2933 5866 9637 11732 19274 38548 67459 117251 134918 234502 269836 469004 820757 1641514 2696773 3283028 5393546 10787092 18877411 37754822 49128169 75509644 98256338 196512676 343897183 687794366 1129947887 1375588732 2259895774 4519791548 7909635209 15819270418 31638540836