Base | Representation |
---|---|
bin | 11101110010000111… |
… | …000100000000000000 |
3 | 10001112200112221210000 |
4 | 131302013010000000 |
5 | 1010443140200323 |
6 | 22405133440000 |
7 | 2211321633246 |
oct | 356207040000 |
9 | 101480487700 |
10 | 31979225088 |
11 | 12620491148 |
12 | 6245940000 |
13 | 30284473c5 |
14 | 1795256796 |
15 | c72785e43 |
hex | 7721c4000 |
31979225088 has 150 divisors (see below), whose sum is σ = 95543919086. Its totient is φ = 10659299328.
The previous prime is 31979225041. The next prime is 31979225107. The reversal of 31979225088 is 88052297913.
31979225088 is a `hidden beast` number, since 319 + 79 + 2 + 250 + 8 + 8 = 666.
It can be written as a sum of positive squares in only one way, i.e., 30259298304 + 1719926784 = 173952^2 + 41472^2 .
It is a Harshad number since it is a multiple of its sum of digits (54).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1315056 + ... + 1339152.
Almost surely, 231979225088 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 31979225088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47771959543).
31979225088 is an abundant number, since it is smaller than the sum of its proper divisors (63564693998).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
31979225088 is an frugal number, since it uses more digits than its factorization.
31979225088 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 24137 (or 24102 counting only the distinct ones).
The product of its (nonzero) digits is 2177280, while the sum is 54.
The spelling of 31979225088 in words is "thirty-one billion, nine hundred seventy-nine million, two hundred twenty-five thousand, eighty-eight".
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