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23156344365132 = 223112291666145979
BaseRepresentation
bin1010100001111100000011…
…01011100010000001001100
310000222201120110020102210210
411100332001223202001030
511013343143124141012
6121125513332002420
74606663541323416
oct520760153420114
9100881513212723
1023156344365132
117418606789330
12271ba30a60410
13cbc8318c12a4
145a0ab73559b6
152a253a16623c
hex150f81ae204c

23156344365132 has 96 divisors (see below), whose sum is σ = 59205657772800. Its totient is φ = 6985860537600.

The previous prime is 23156344365131. The next prime is 23156344365181.

23156344365132 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (23156344365131) 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, 503605719 + ... + 503651697.

It is an arithmetic number, because the mean of its divisors is an integer number (616725601800).

Almost surely, 223156344365132 is an apocalyptic number.

23156344365132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23156344365132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29602828886400).

23156344365132 is an abundant number, since it is smaller than the sum of its proper divisors (36049313407668).

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

23156344365132 is a wasteful number, since it uses less digits than its factorization.

23156344365132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62887 (or 62885 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 48.

The spelling of 23156344365132 in words is "twenty-three trillion, one hundred fifty-six billion, three hundred forty-four million, three hundred sixty-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 229 458 687 916 1374 2519 2748 5038 7557 10076 15114 16661 30228 33322 45979 49983 66644 91958 99966 137937 183271 183916 199932 275874 366542 505769 549813 551748 733084 1011538 1099626 1517307 2023076 2199252 3034614 3815369 6069228 7630738 10529191 11446107 15261476 21058382 22892214 31587573 41969059 42116764 45784428 63175146 83938118 115821101 125907177 126350292 167876236 231642202 251814354 347463303 463284404 503628708 694926606 766056119 1389853212 1532112238 2298168357 3064224476 4596336714 8426617309 9192673428 16853234618 25279851927 33706469236 50559703854 101119407708 175426851251 350853702502 526280553753 701707405004 1052561107506 1929695363761 2105122215012 3859390727522 5789086091283 7718781455044 11578172182566 23156344365132