Search a number
-
+
23015264652 = 223231167123491
BaseRepresentation
bin10101011011110100…
…010001000110001100
32012101222021120202100
4111123310101012030
5334113401432102
614323440555100
71443224343642
oct253364210614
965358246670
1023015264652
119840575a86
124563922a90
13222a2a50c3
141184943192
158ea827a1c
hex55bd1118c

23015264652 has 72 divisors (see below), whose sum is σ = 60414262272. Its totient is φ = 7379762400.

The previous prime is 23015264641. The next prime is 23015264711. The reversal of 23015264652 is 25646251032.

23015264652 is a `hidden beast` number, since 2 + 3 + 0 + 1 + 5 + 2 + 646 + 5 + 2 = 666.

It is a super-2 number, since 2×230152646522 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124627 + ... + 248117.

It is an arithmetic number, because the mean of its divisors is an integer number (839086976).

Almost surely, 223015264652 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23015264652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30207131136).

23015264652 is an abundant number, since it is smaller than the sum of its proper divisors (37398997620).

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

23015264652 is a wasteful number, since it uses less digits than its factorization.

23015264652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123699 (or 123694 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 23015264652 in words is "twenty-three billion, fifteen million, two hundred sixty-four thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 167 186 279 334 372 501 558 668 1002 1116 1503 2004 3006 5177 6012 10354 15531 20708 31062 46593 62124 93186 123491 186372 246982 370473 493964 740946 1111419 1481892 2222838 3828221 4445676 7656442 11484663 15312884 20622997 22969326 34453989 41245994 45938652 61868991 68907978 82491988 123737982 137815956 185606973 247475964 371213946 639312907 742427892 1278625814 1917938721 2557251628 3835877442 5753816163 7671754884 11507632326 23015264652