Base | Representation |
---|---|
bin | 10101100011001000… |
… | …101100100100000000 |
3 | 2012201112100021001100 |
4 | 111203020230210000 |
5 | 334341320414134 |
6 | 14343544534400 |
7 | 1446245161314 |
oct | 254310544400 |
9 | 65645307040 |
10 | 23138060544 |
11 | 98a3917395 |
12 | 4598a81400 |
13 | 224986a7b1 |
14 | 1196d89b44 |
15 | 9064d1999 |
hex | 56322c900 |
23138060544 has 81 divisors (see below), whose sum is σ = 66733791033. Its totient is φ = 7710253056.
The previous prime is 23138060527. The next prime is 23138060549. The reversal of 23138060544 is 44506083132.
The square root of 23138060544 is 152112.
It is a perfect power (a square), and thus also a powerful number.
23138060544 is a `hidden beast` number, since 2 + 3 + 1 + 3 + 8 + 0 + 605 + 44 = 666.
It can be written as a sum of positive squares in only one way, i.e., 19123570944 + 4014489600 = 138288^2 + 63360^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 23138060499 and 23138060508.
It is not an unprimeable number, because it can be changed into a prime (23138060549) by changing a digit.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7299792 + ... + 7302960.
Almost surely, 223138060544 is an apocalyptic number.
23138060544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.
23138060544 is the 152112-nd square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 23138060544
23138060544 is an abundant number, since it is smaller than the sum of its proper divisors (43595730489).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23138060544 is an frugal number, since it uses more digits than its factorization.
23138060544 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6360 (or 3174 counting only the distinct ones).
The product of its (nonzero) digits is 69120, while the sum is 36.
Multiplying 23138060544 by its sum of digits (36), we get a square (832970179584 = 9126722).
23138060544 divided by its sum of digits (36) gives a square (642723904 = 253522).
The spelling of 23138060544 in words is "twenty-three billion, one hundred thirty-eight million, sixty thousand, five hundred forty-four".
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