Base | Representation |
---|---|
bin | 10101011110010110… |
… | …100101011001000000 |
3 | 2012111221100101000000 |
4 | 111132112211121000 |
5 | 334210300040404 |
6 | 14332001000000 |
7 | 1444252123512 |
oct | 253626453100 |
9 | 65457311000 |
10 | 23057815104 |
11 | 9862598845 |
12 | 4576023000 |
13 | 223605279c |
14 | 118a45bbb2 |
15 | 8ee430339 |
hex | 55e5a5640 |
23057815104 has 441 divisors, whose sum is σ = 74411996337. Its totient is φ = 7084620288.
The previous prime is 23057815091. The next prime is 23057815129. The reversal of 23057815104 is 40151875032.
The square root of 23057815104 is 151848.
It is a perfect power (a square), and thus also a powerful number.
23057815104 is a `hidden beast` number, since 2 + 30 + 578 + 1 + 51 + 0 + 4 = 666.
It can be written as a sum of positive squares in only one way, i.e., 20632449600 + 2425365504 = 143640^2 + 49248^2 .
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 62 ways as a sum of consecutive naturals, for example, 623184174 + ... + 623184210.
Almost surely, 223057815104 is an apocalyptic number.
23057815104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.
23057815104 is the 151848-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 23057815104
23057815104 is an abundant number, since it is smaller than the sum of its proper divisors (51354181233).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23057815104 is an frugal number, since it uses more digits than its factorization.
23057815104 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 142 (or 61 counting only the distinct ones).
The product of its (nonzero) digits is 33600, while the sum is 36.
Multiplying 23057815104 by its sum of digits (36), we get a square (830081343744 = 9110882).
23057815104 divided by its sum of digits (36) gives a square (640494864 = 253082).
The spelling of 23057815104 in words is "twenty-three billion, fifty-seven million, eight hundred fifteen thousand, one hundred four".
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