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23181889536 = 21232132612
BaseRepresentation
bin10101100101101111…
…111001000000000000
32012211120211000010100
4111211233321000000
5334434030431121
614352152202400
71450316544531
oct254557710000
965746730110
1023181889536
1199166327a3
1245ab699400
132255975100
14119cb18688
1590a28d026
hex565bf9000

23181889536 has 351 divisors, whose sum is σ = 73717009587. Its totient is φ = 7015956480.

The previous prime is 23181889457. The next prime is 23181889547. The reversal of 23181889536 is 63598818132.

The square root of 23181889536 is 152256.

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

23181889536 is a `hidden beast` number, since 2 + 3 + 18 + 18 + 89 + 536 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16302182400 + 6879707136 = 127680^2 + 82944^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 380030946 + ... + 380031006.

Almost surely, 223181889536 is an apocalyptic number.

23181889536 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

23181889536 is the 152256-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23181889536

23181889536 is an abundant number, since it is smaller than the sum of its proper divisors (50535120051).

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

23181889536 is an equidigital number, since it uses as much as digits as its factorization.

23181889536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 79 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The spelling of 23181889536 in words is "twenty-three billion, one hundred eighty-one million, eight hundred eighty-nine thousand, five hundred thirty-six".