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23500583401 = 41237392
BaseRepresentation
bin10101111000101111…
…100111000111101001
32020122210111022220211
4111320233213013221
5341112122132101
614443535021121
71461236443261
oct257057470751
966583438824
1023500583401
119a6a515159
12467a36a7a1
1322a69b9969
1411cd1967a1
15928240c51
hex578be71e9

23500583401 has 9 divisors (see below), whose sum is σ = 24094192503. Its totient is φ = 22921266480.

The previous prime is 23500583399. The next prime is 23500583413. The reversal of 23500583401 is 10438500532.

The square root of 23500583401 is 153299.

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

It can be written as a sum of positive squares in only one way, i.e., 1132389801 + 22368193600 = 33651^2 + 149560^2 .

It is not a de Polignac number, because 23500583401 - 21 = 23500583399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23500583461) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6283390 + ... + 6287128.

Almost surely, 223500583401 is an apocalyptic number.

23500583401 is the 153299-th square number.

23500583401 is the 76650-th centered octagonal number.

It is an amenable number.

23500583401 is a deficient number, since it is larger than the sum of its proper divisors (593609102).

23500583401 is an frugal number, since it uses more digits than its factorization.

23500583401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7560 (or 3780 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

Multiplying 23500583401 by its product of nonzero digits (14400), we get a square (338408400974400 = 183958802).

The spelling of 23500583401 in words is "twenty-three billion, five hundred million, five hundred eighty-three thousand, four hundred one".

Divisors: 1 41 1681 3739 153299 6285259 13980121 573184961 23500583401