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23264533546232 = 23113179107950061
BaseRepresentation
bin1010100101000101100100…
…10000100000010011111000
310001101001211100021021122012
411102202302100200103320
511022131231041434412
6121251325033345052
74620543554226446
oct522426220402370
9101331740237565
1023264533546232
11745a4847553a0
1227389a5268188
13cc9ab3bb0904
145a601bc47b96
152a526d2b9c22
hex1528b24204f8

23264533546232 has 64 divisors (see below), whose sum is σ = 49743388569600. Its totient is φ = 10104125616000.

The previous prime is 23264533546223. The next prime is 23264533546237.

23264533546232 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×232645335462322 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23264533546237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53759519 + ... + 54190542.

It is an arithmetic number, because the mean of its divisors is an integer number (777240446400).

Almost surely, 223264533546232 is an apocalyptic number.

23264533546232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23264533546232 is an abundant number, since it is smaller than the sum of its proper divisors (26478855023368).

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

23264533546232 is a wasteful number, since it uses less digits than its factorization.

23264533546232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107950188 (or 107950184 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 50.

The spelling of 23264533546232 in words is "twenty-three trillion, two hundred sixty-four billion, five hundred thirty-three million, five hundred forty-six thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 22 31 44 62 79 88 124 158 248 316 341 632 682 869 1364 1738 2449 2728 3476 4898 6952 9796 19592 26939 53878 107756 215512 107950061 215900122 431800244 863600488 1187450671 2374901342 3346451891 4749802684 6692903782 8528054819 9499605368 13385807564 17056109638 26771615128 34112219276 36810970801 68224438552 73621941602 93808603009 147243883204 187617206018 264369699389 294487766408 375234412036 528739398778 750468824072 1057478797556 2114957595112 2908066693279 5816133386558 11632266773116 23264533546232