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23264433446232 = 23311208379422897
BaseRepresentation
bin1010100101000101011000…
…10010101001110101011000
310001101001120100220200020210
411102202230102221311120
511022131024430234412
6121251311100051120
74620541230336636
oct522425422516530
9101331510820223
1023264433446232
11745a4331a5820
122738977833aa0
13cc9a99233744
145a600c82c356
152a52645e583c
hex1528ac4a9d58

23264433446232 has 64 divisors (see below), whose sum is σ = 63448909372800. Its totient is φ = 7049777815040.

The previous prime is 23264433446231. The next prime is 23264433446239.

It is a happy number.

23264433446232 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23264433446231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54800608 + ... + 55223504.

It is an arithmetic number, because the mean of its divisors is an integer number (991389208950).

Almost surely, 223264433446232 is an apocalyptic number.

23264433446232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23264433446232 is an abundant number, since it is smaller than the sum of its proper divisors (40184475926568).

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

23264433446232 is a wasteful number, since it uses less digits than its factorization.

23264433446232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631296 (or 631292 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 48.

The spelling of 23264433446232 in words is "twenty-three trillion, two hundred sixty-four billion, four hundred thirty-three million, four hundred forty-six thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 208379 416758 422897 625137 833516 845794 1250274 1268691 1667032 1691588 2292169 2500548 2537382 3383176 4584338 4651867 5001096 5074764 6876507 9168676 9303734 10149528 13753014 13955601 18337352 18607468 27506028 27911202 37214936 55012056 55822404 111644808 88122853963 176245707926 264368561889 352491415852 528737123778 704982831704 969351393593 1057474247556 1938702787186 2114948495112 2908054180779 3877405574372 5816108361558 7754811148744 11632216723116 23264433446232