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38664108360 = 233257310311427
BaseRepresentation
bin100100000000100011…
…110111100101001000
310200210120100012200100
4210000203313211020
51113141002431420
625432334005400
72536063332663
oct440043674510
9120716305610
1038664108360
1115440976969
1275b0646860
13385238ba37
141c2adc66da
1510145a7190
hex9008f7948

38664108360 has 192 divisors, whose sum is σ = 127592599680. Its totient is φ = 10152207360.

The previous prime is 38664108319. The next prime is 38664108383. The reversal of 38664108360 is 6380146683.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27093967 + ... + 27095393.

It is an arithmetic number, because the mean of its divisors is an integer number (664544790).

Almost surely, 238664108360 is an apocalyptic number.

38664108360 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 38664108360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63796299840).

38664108360 is an abundant number, since it is smaller than the sum of its proper divisors (88928491320).

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

38664108360 is a wasteful number, since it uses less digits than its factorization.

38664108360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2548 (or 2541 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 38664108360 in words is "thirty-eight billion, six hundred sixty-four million, one hundred eight thousand, three hundred sixty".