Base | Representation |
---|---|
bin | 10110010100000000… |
… | …010010100101010100 |
3 | 2021211200002111000000 |
4 | 112110000102211110 |
5 | 343031213044224 |
6 | 15001153451300 |
7 | 1505462064135 |
oct | 262400224524 |
9 | 67750074000 |
10 | 23957940564 |
11 | a1846a6388 |
12 | 4787570b30 |
13 | 234a6912bc |
14 | 1233c0bc8c |
15 | 9534840c9 |
hex | 594012954 |
23957940564 has 126 divisors (see below), whose sum is σ = 64065908634. Its totient is φ = 7833659040.
The previous prime is 23957940529. The next prime is 23957940571. The reversal of 23957940564 is 46504975932.
23957940564 is a `hidden beast` number, since 2 + 3 + 9 + 5 + 79 + 4 + 0 + 564 = 666.
It can be written as a sum of positive squares in only one way, i.e., 14139112464 + 9818828100 = 118908^2 + 99090^2 .
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a self number, because there is not a number n which added to its sum of digits gives 23957940564.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 65280309 + ... + 65280675.
Almost surely, 223957940564 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 23957940564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32032954317).
23957940564 is an abundant number, since it is smaller than the sum of its proper divisors (40107968070).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23957940564 is an frugal number, since it uses more digits than its factorization.
23957940564 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 817 (or 433 counting only the distinct ones).
The product of its (nonzero) digits is 8164800, while the sum is 54.
The spelling of 23957940564 in words is "twenty-three billion, nine hundred fifty-seven million, nine hundred forty thousand, five hundred sixty-four".
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