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388137024968 = 2371121719374793
BaseRepresentation
bin1011010010111101100…
…01001111110111001000
31101002211221021210120012
411221132301033313020
522324401034244333
6454150243251052
740020253163660
oct5513661176710
91332757253505
10388137024968
1113a676260700
1263282379a88
132a7a79b19a4
1414b008531a0
15a16a1e2e48
hex5a5ec4fdc8

388137024968 has 384 divisors, whose sum is σ = 1046687443200. Its totient is φ = 131164323840.

The previous prime is 388137024953. The next prime is 388137024973. The reversal of 388137024968 is 869420731883.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 80977580 + ... + 80982372.

It is an arithmetic number, because the mean of its divisors is an integer number (2725748550).

Almost surely, 2388137024968 is an apocalyptic number.

388137024968 is a gapful number since it is divisible by the number (38) 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 388137024968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523343721600).

388137024968 is an abundant number, since it is smaller than the sum of its proper divisors (658550418232).

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

388137024968 is a wasteful number, since it uses less digits than its factorization.

388137024968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4901 (or 4886 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 59.

The spelling of 388137024968 in words is "three hundred eighty-eight billion, one hundred thirty-seven million, twenty-four thousand, nine hundred sixty-eight".