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38139708600 = 23345272232089
BaseRepresentation
bin100011100001010011…
…011100010010111000
310122110000120221110000
4203201103130102320
51111102231133400
625304322153000
72520065113500
oct434123342270
9118400527400
1038139708600
11151a1964634
127484ab2760
13379a842a16
141bbb4bca00
15ed351e600
hex8e14dc4b8

38139708600 has 720 divisors, whose sum is σ = 160868386800. Its totient is φ = 8334627840.

The previous prime is 38139708583. The next prime is 38139708613. The reversal of 38139708600 is 680793183.

It is a happy number.

38139708600 is a `hidden beast` number, since 3 + 8 + 1 + 39 + 7 + 0 + 8 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 18256356 + ... + 18258444.

It is an arithmetic number, because the mean of its divisors is an integer number (223428315).

Almost surely, 238139708600 is an apocalyptic number.

38139708600 is a gapful number since it is divisible by the number (30) 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 38139708600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80434193400).

38139708600 is an abundant number, since it is smaller than the sum of its proper divisors (122728678200).

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

38139708600 is a wasteful number, since it uses less digits than its factorization.

38139708600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2154 (or 2129 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 38139708600 in words is "thirty-eight billion, one hundred thirty-nine million, seven hundred eight thousand, six hundred".