Base | Representation |
---|---|
bin | 10110000110011011… |
… | …001111000010100100 |
3 | 2021020210102010221100 |
4 | 112012123033002210 |
5 | 342044402413131 |
6 | 14522414520100 |
7 | 1500024500553 |
oct | 260633170244 |
9 | 67223363840 |
10 | 23730122916 |
11 | a078043635 |
12 | 4723206030 |
13 | 2312417466 |
14 | 1211867d9a |
15 | 93d4827e6 |
hex | 5866cf0a4 |
23730122916 has 108 divisors (see below), whose sum is σ = 62227937772. Its totient is φ = 7624512000.
The previous prime is 23730122909. The next prime is 23730122917. The reversal of 23730122916 is 61922103732.
It can be written as a sum of positive squares in 2 ways, for example, as 8476884900 + 15253238016 = 92070^2 + 123504^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23730122917) by changing a digit.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9720256 + ... + 9722696.
It is an arithmetic number, because the mean of its divisors is an integer number (576184609).
Almost surely, 223730122916 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 23730122916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31113968886).
23730122916 is an abundant number, since it is smaller than the sum of its proper divisors (38497814856).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23730122916 is a wasteful number, since it uses less digits than its factorization.
23730122916 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2794 (or 2758 counting only the distinct ones).
The product of its (nonzero) digits is 27216, while the sum is 36.
The spelling of 23730122916 in words is "twenty-three billion, seven hundred thirty million, one hundred twenty-two thousand, nine hundred sixteen".
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