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23752310401 = 27790299497
BaseRepresentation
bin10110000111101111…
…110111111010000001
32021022100011101110001
4112013233313322001
5342121042413101
614524530240001
71500414210241
oct260757677201
967270141401
1023752310401
11a0896183a6
12472a726001
132316bb5451
1412147a1b21
159403b6901
hex587bf7e81

23752310401 has 8 divisors (see below), whose sum is σ = 23843209320. Its totient is φ = 23661449088.

The previous prime is 23752310399. The next prime is 23752310441. The reversal of 23752310401 is 10401325732.

It can be written as a sum of positive squares in 4 ways, for example, as 2102130801 + 21650179600 = 45849^2 + 147140^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 23752310401 - 21 = 23752310399 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 23752310401.

It is not an unprimeable number, because it can be changed into a prime (23752310441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2496285 + ... + 2505781.

It is an arithmetic number, because the mean of its divisors is an integer number (2980401165).

Almost surely, 223752310401 is an apocalyptic number.

It is an amenable number.

23752310401 is a deficient number, since it is larger than the sum of its proper divisors (90898919).

23752310401 is an equidigital number, since it uses as much as digits as its factorization.

23752310401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18803.

The product of its (nonzero) digits is 5040, while the sum is 28.

It can be divided in two parts, 23752 and 310401, that added together give a triangular number (334153 = T817).

The spelling of 23752310401 in words is "twenty-three billion, seven hundred fifty-two million, three hundred ten thousand, four hundred one".

Divisors: 1 277 9029 9497 2501033 2630669 85748413 23752310401