Search a number
-
+
31804656912 = 2433743277883
BaseRepresentation
bin11101100111101101…
…001000110100010000
310001002112001222021000
4131213231020310100
51010113443010122
622335540102000
72204102060160
oct354755106420
9101075058230
1031804656912
1112540999526
1261b7394900
132ccb225a22
141779db45a0
15c622a20ac
hex767b48d10

31804656912 has 320 divisors, whose sum is σ = 107265832960. Its totient is φ = 8833660416.

The previous prime is 31804656901. The next prime is 31804656913. The reversal of 31804656912 is 21965640813.

31804656912 is a `hidden beast` number, since 3 + 1 + 80 + 4 + 6 + 569 + 1 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (31804656913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36018423 + ... + 36019305.

It is an arithmetic number, because the mean of its divisors is an integer number (335205728).

Almost surely, 231804656912 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 31804656912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53632916480).

31804656912 is an abundant number, since it is smaller than the sum of its proper divisors (75461176048).

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

31804656912 is a wasteful number, since it uses less digits than its factorization.

31804656912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1227 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 31804656912 in words is "thirty-one billion, eight hundred four million, six hundred fifty-six thousand, nine hundred twelve".