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23738094144 = 2633193719541
BaseRepresentation
bin10110000110111001…
…101001001001000000
32021021100102010102000
4112012321221021000
5342103423003034
614523301424000
71500152320362
oct260671511100
967240363360
1023738094144
11a081598526
124725a0b000
132313c7876b
141212940d32
1593e009599
hex586e69240

23738094144 has 224 divisors, whose sum is σ = 75447753600. Its totient is φ = 7293265920.

The previous prime is 23738094091. The next prime is 23738094221. The reversal of 23738094144 is 44149083732.

It is a super-2 number, since 2×237380941442 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 23738094144.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1205014 + ... + 1224554.

Almost surely, 223738094144 is an apocalyptic number.

23738094144 is a gapful number since it is divisible by the number (24) 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 23738094144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37723876800).

23738094144 is an abundant number, since it is smaller than the sum of its proper divisors (51709659456).

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

23738094144 is a wasteful number, since it uses less digits than its factorization.

23738094144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19618 (or 19602 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 23738094144 in words is "twenty-three billion, seven hundred thirty-eight million, ninety-four thousand, one hundred forty-four".