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23387253120 = 27375721131
BaseRepresentation
bin10101110001111111…
…010010100110000000
32020100220020120000000
4111301333102212000
5340344114044440
614424410000000
71455362241300
oct256177224600
966326216000
1023387253120
119a11549470
124648416000
13228938981a
1411bc0d5600
1591d306730
hex571fd2980

23387253120 has 1536 divisors, whose sum is σ = 109842739200. Its totient is φ = 4702924800.

The previous prime is 23387253119. The next prime is 23387253161. The reversal of 23387253120 is 2135278332.

23387253120 is a `hidden beast` number, since 2 + 3 + 38 + 72 + 531 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 754427505 + ... + 754427535.

It is an arithmetic number, because the mean of its divisors is an integer number (71512200).

Almost surely, 223387253120 is an apocalyptic number.

23387253120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23387253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54921369600).

23387253120 is an abundant number, since it is smaller than the sum of its proper divisors (86455486080).

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

23387253120 is an equidigital number, since it uses as much as digits as its factorization.

23387253120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 23387253120 in words is "twenty-three billion, three hundred eighty-seven million, two hundred fifty-three thousand, one hundred twenty".