Search a number
-
+
31292153856 = 213323711471
BaseRepresentation
bin11101001001001010…
…000110000000000000
32222202210201010020100
4131021022012000000
51003041242410411
622213031242400
72155306630155
oct351112060000
988683633210
1031292153856
11122a8672387
126093819400
132c48cb3992
14172bcc622c
15c322b9456
hex749286000

31292153856 has 168 divisors, whose sum is σ = 92845213344. Its totient is φ = 10147921920.

The previous prime is 31292153813. The next prime is 31292153897. The reversal of 31292153856 is 65835129213.

31292153856 is a `hidden beast` number, since 31 + 29 + 215 + 385 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2722201 + ... + 2733671.

Almost surely, 231292153856 is an apocalyptic number.

31292153856 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31292153856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46422606672).

31292153856 is an abundant number, since it is smaller than the sum of its proper divisors (61553059488).

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

31292153856 is a wasteful number, since it uses less digits than its factorization.

31292153856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11540 (or 11513 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The spelling of 31292153856 in words is "thirty-one billion, two hundred ninety-two million, one hundred fifty-three thousand, eight hundred fifty-six".