Base | Representation |
---|---|
bin | 10101100011100101… |
… | …101010011101110100 |
3 | 2012202001122001111100 |
4 | 111203211222131310 |
5 | 334400241413012 |
6 | 14344415410100 |
7 | 1446366546126 |
oct | 254345523564 |
9 | 65661561440 |
10 | 23145654132 |
11 | 98a8133587 |
12 | 459b523930 |
13 | 224b2c8c43 |
14 | 1197da5216 |
15 | 906ed18dc |
hex | 56396a774 |
23145654132 has 18 divisors (see below), whose sum is σ = 58507070258. Its totient is φ = 7715218032.
The previous prime is 23145654131. The next prime is 23145654143.
23145654132 is a `hidden beast` number, since 2 + 31 + 4 + 56 + 541 + 32 = 666.
23145654132 is nontrivially palindromic in base 10.
It can be written as a sum of positive squares in only one way, i.e., 22944978576 + 200675556 = 151476^2 + 14166^2 .
It is a tau number, because it is divible by the number of its divisors (18).
It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 642934837 = 23145654132 / (2 + 3 + 1 + 4 + 5 + 6 + 5 + 4 + 1 + 3 + 2).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23145654131) 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 5 ways as a sum of consecutive naturals, for example, 321467383 + ... + 321467454.
Almost surely, 223145654132 is an apocalyptic number.
It is an amenable number.
23145654132 is an abundant number, since it is smaller than the sum of its proper divisors (35361416126).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23145654132 is a wasteful number, since it uses less digits than its factorization.
23145654132 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 642934847 (or 642934842 counting only the distinct ones).
The product of its digits is 86400, while the sum is 36.
The spelling of 23145654132 in words is "twenty-three billion, one hundred forty-five million, six hundred fifty-four thousand, one hundred thirty-two".
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