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38108023800 = 233527112335863
BaseRepresentation
bin100011011111011010…
…100100101111111000
310122100210222012001220
4203133122210233320
51111021123230200
625301231112040
72516231600130
oct433732445770
9118323865056
1038108023800
1115185a93350
127476372620
1337940cac12
141bb71d1ac0
15ed08614a0
hex8df6a4bf8

38108023800 has 384 divisors, whose sum is σ = 153693020160. Its totient is φ = 7574054400.

The previous prime is 38108023787. The next prime is 38108023829. The reversal of 38108023800 is 832080183.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent 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, 1044669 + ... + 1080531.

It is an arithmetic number, because the mean of its divisors is an integer number (400242240).

Almost surely, 238108023800 is an apocalyptic number.

38108023800 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 38108023800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76846510080).

38108023800 is an abundant number, since it is smaller than the sum of its proper divisors (115584996360).

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

38108023800 is a wasteful number, since it uses less digits than its factorization.

38108023800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35923 (or 35914 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The spelling of 38108023800 in words is "thirty-eight billion, one hundred eight million, twenty-three thousand, eight hundred".