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23385138084 = 2232721123312
BaseRepresentation
bin10101110001110111…
…001110001110100100
32020100202021002201100
4111301313032032210
5340343043404314
614424252400100
71455335252100
oct256167161644
966322232640
1023385138084
119a10334400
124647776030
132288ac8c19
1411bbb04900
1591d039c09
hex571dce3a4

23385138084 has 243 divisors, whose sum is σ = 75811993803. Its totient is φ = 6055711200.

The previous prime is 23385138053. The next prime is 23385138097. The reversal of 23385138084 is 48083158332.

The square root of 23385138084 is 152922.

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

23385138084 is a `hidden beast` number, since 23 + 38 + 513 + 8 + 0 + 84 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 70649799 + ... + 70650129.

Almost surely, 223385138084 is an apocalyptic number.

23385138084 is the 152922-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23385138084

23385138084 is an abundant number, since it is smaller than the sum of its proper divisors (52426855719).

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

23385138084 is a wasteful number, since it uses less digits than its factorization.

23385138084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 23385138084 in words is "twenty-three billion, three hundred eighty-five million, one hundred thirty-eight thousand, eighty-four".