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23082163525872 = 24321121923741259
BaseRepresentation
bin1010011111110001111000…
…01010000101100011110000
310000201122002122220100122200
411033320330022011203300
511011134232330311442
6121031444411103200
74601426346515133
oct517707412054360
9100648078810580
1023082163525872
11739a0aa617900
122709589a41b00
13cb583c249369
1459b27b39421a
152a06479ad34c
hex14fe3c2858f0

23082163525872 has 1620 divisors, whose sum is σ = 80223533568360. Its totient is φ = 6183500083200.

The previous prime is 23082163525871. The next prime is 23082163525879. The reversal of 23082163525872 is 27852536128032.

23082163525872 is a `hidden beast` number, since 2 + 3 + 0 + 8 + 2 + 1 + 6 + 3 + 52 + 587 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23082163525871) by changing a digit.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 391223110579 + ... + 391223110637.

Almost surely, 223082163525872 is an apocalyptic number.

23082163525872 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 23082163525872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40111766784180).

23082163525872 is an abundant number, since it is smaller than the sum of its proper divisors (57141370042488).

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

23082163525872 is a wasteful number, since it uses less digits than its factorization.

23082163525872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 23082163525872 in words is "twenty-three trillion, eighty-two billion, one hundred sixty-three million, five hundred twenty-five thousand, eight hundred seventy-two".