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23725477452732 = 223111242114470531
BaseRepresentation
bin1010110010100000001001…
…01001111101101110111100
310010000010121022112212200020
411121100010221331232330
511102204234211441412
6122243200041132140
74666052306622246
oct531200451755674
9103003538485606
1023725477452732
117617a11555770
1227b21a648a050
1310313c26a6493
145c0467da9096
152b224a21718c
hex159404a7dbbc

23725477452732 has 48 divisors (see below), whose sum is σ = 60396990697344. Its totient is φ = 7188959304000.

The previous prime is 23725477452713. The next prime is 23725477452737.

23725477452732 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×237254774527322 (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 (23725477452737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5595694 + ... + 8874837.

It is an arithmetic number, because the mean of its divisors is an integer number (1258270639528).

Almost surely, 223725477452732 is an apocalyptic number.

23725477452732 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23725477452732 is an abundant number, since it is smaller than the sum of its proper divisors (36671513244612).

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

23725477452732 is a wasteful number, since it uses less digits than its factorization.

23725477452732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14482970 (or 14482968 counting only the distinct ones).

The product of its digits is 138297600, while the sum is 60.

The spelling of 23725477452732 in words is "twenty-three trillion, seven hundred twenty-five billion, four hundred seventy-seven million, four hundred fifty-two thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 12421 24842 37263 49684 74526 136631 149052 273262 409893 546524 819786 1639572 14470531 28941062 43411593 57882124 86823186 159175841 173646372 318351682 477527523 636703364 955055046 1910110092 179738465551 359476931102 539215396653 718953862204 1078430793306 1977123121061 2156861586612 3954246242122 5931369363183 7908492484244 11862738726366 23725477452732