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23165456132 = 22713157457887
BaseRepresentation
bin10101100100110001…
…001100111100000100
32012210102220002201202
4111210301030330010
5334420324044012
614350404042032
71450030061660
oct254461147404
965712802652
1023165456132
119908329075
1245a6093318
1322524401c0
14119a87b8a0
15908ae3cc2
hex564c4cf04

23165456132 has 96 divisors (see below), whose sum is σ = 50379237888. Its totient is φ = 9075815424.

The previous prime is 23165456131. The next prime is 23165456137.

23165456132 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (23165456131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26116193 + ... + 26117079.

It is an arithmetic number, because the mean of its divisors is an integer number (524783728).

Almost surely, 223165456132 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 23165456132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25189618944).

23165456132 is an abundant number, since it is smaller than the sum of its proper divisors (27213781756).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23165456132 is a wasteful number, since it uses less digits than its factorization.

23165456132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525 (or 1523 counting only the distinct ones).

The product of its digits is 129600, while the sum is 38.

The spelling of 23165456132 in words is "twenty-three billion, one hundred sixty-five million, four hundred fifty-six thousand, one hundred thirty-two".

Divisors: 1 2 4 7 13 14 26 28 52 91 157 182 314 364 457 628 887 914 1099 1774 1828 2041 2198 3199 3548 4082 4396 5941 6209 6398 8164 11531 11882 12418 12796 14287 23062 23764 24836 28574 41587 46124 57148 71749 80717 83174 139259 143498 161434 166348 278518 286996 322868 405359 502243 557036 810718 932737 974813 1004486 1621436 1810367 1865474 1949626 2008972 2837513 3620734 3730948 3899252 5269667 5675026 6529159 7241468 10539334 11350052 12672569 13058318 21078668 25345138 26116636 36887669 50690276 63641363 73775338 127282726 147550676 254565452 445489541 827337719 890979082 1654675438 1781958164 3309350876 5791364033 11582728066 23165456132