Search a number
-
+
6317131392 = 27321113311237
BaseRepresentation
bin1011110001000011…
…11100011010000000
3121022020210112011100
411320201330122000
5100414141201032
62522502014400
7312354505455
oct57041743200
917266715140
106317131392
112751946350
121283717400
137989b4390
1443cda182c
1526e8cc97c
hex17887c680

6317131392 has 384 divisors, whose sum is σ = 22062942720. Its totient is φ = 1708646400.

The previous prime is 6317131349. The next prime is 6317131433. The reversal of 6317131392 is 2931317136.

6317131392 is a `hidden beast` number, since 631 + 7 + 1 + 3 + 13 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×63171313922 = 79812298047583715328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5106198 + ... + 5107434.

It is an arithmetic number, because the mean of its divisors is an integer number (57455580).

Almost surely, 26317131392 is an apocalyptic number.

6317131392 is a gapful number since it is divisible by the number (62) 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 6317131392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11031471360).

6317131392 is an abundant number, since it is smaller than the sum of its proper divisors (15745811328).

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

6317131392 is a wasteful number, since it uses less digits than its factorization.

6317131392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1312 (or 1297 counting only the distinct ones).

The product of its digits is 20412, while the sum is 36.

The square root of 6317131392 is about 79480.3836930849. The cubic root of 6317131392 is about 1848.5873210515.

The spelling of 6317131392 in words is "six billion, three hundred seventeen million, one hundred thirty-one thousand, three hundred ninety-two".