Base | Representation |
---|---|
bin | 11101001000001110… |
… | …110111111110010000 |
3 | 2222201201111102101011 |
4 | 131020032313332100 |
5 | 1003023304124104 |
6 | 22211314420304 |
7 | 2155030652632 |
oct | 351016677620 |
9 | 88651442334 |
10 | 31276629904 |
11 | 1229a929a73 |
12 | 608a591694 |
13 | 2c45a09a00 |
14 | 1729c04a52 |
15 | c30c4e904 |
hex | 7483b7f90 |
31276629904 has 135 divisors (see below), whose sum is σ = 69642888273. Its totient is φ = 13599211392.
The previous prime is 31276629863. The next prime is 31276629907. The reversal of 31276629904 is 40992667213.
The square root of 31276629904 is 176852.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in only one way, i.e., 4626720400 + 26649909504 = 68020^2 + 163248^2 .
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (31276629907) 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 26 ways as a sum of consecutive naturals, for example, 174729687 + ... + 174729865.
Almost surely, 231276629904 is an apocalyptic number.
31276629904 is the 176852-nd square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 31276629904
31276629904 is an abundant number, since it is smaller than the sum of its proper divisors (38366258369).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
31276629904 is a wasteful number, since it uses less digits than its factorization.
31276629904 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 430 (or 213 counting only the distinct ones).
The product of its (nonzero) digits is 979776, while the sum is 49.
Multiplying 31276629904 by its sum of digits (49), we get a square (1532554865296 = 12379642).
The spelling of 31276629904 in words is "thirty-one billion, two hundred seventy-six million, six hundred twenty-nine thousand, nine hundred four".
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