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23761914201 = 32513832
BaseRepresentation
bin10110001000010100…
…100000100101011001
32021100000020022101100
4112020110200211121
5342131022223301
614525512142013
71500561636534
oct261024404531
967300208340
1023761914201
11a093a87923
124731997909
132318b9887c
141215b81a1b
15941162286
hex588520959

23761914201 has 9 divisors (see below), whose sum is σ = 34323432949. Its totient is φ = 15840967836.

The previous prime is 23761914199. The next prime is 23761914269. The reversal of 23761914201 is 10241916732.

The square root of 23761914201 is 154149.

It is a perfect power (a square), and thus also a powerful number.

23761914201 is a `hidden beast` number, since 2 + 3 + 7 + 619 + 14 + 20 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 23761914201 - 21 = 23761914199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23761914601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 436756 + ... + 488138.

Almost surely, 223761914201 is an apocalyptic number.

23761914201 is the 154149-th square number.

23761914201 is the 77075-th centered octagonal number.

It is an amenable number.

23761914201 is a deficient number, since it is larger than the sum of its proper divisors (10561518748).

23761914201 is an frugal number, since it uses more digits than its factorization.

23761914201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102772 (or 51386 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

Multiplying 23761914201 by its sum of digits (36), we get a square (855428911236 = 9248942).

The spelling of 23761914201 in words is "twenty-three billion, seven hundred sixty-one million, nine hundred fourteen thousand, two hundred one".

Divisors: 1 3 9 51383 154149 462447 2640212689 7920638067 23761914201