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38857142688 = 25372132921911
BaseRepresentation
bin100100001100000100…
…001111000110100000
310201022000120100222220
4210030010033012200
51114034412031223
625503431231040
72543626156200
oct441404170640
9121260510886
1038857142688
111552a931471
127645218480
133883377630
141c488b4400
1510264d76e3
hex90c10f1a0

38857142688 has 288 divisors, whose sum is σ = 132192466560. Its totient is φ = 9894205440.

The previous prime is 38857142633. The next prime is 38857142707. The reversal of 38857142688 is 88624175883.

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, 1762453 + ... + 1784363.

It is an arithmetic number, because the mean of its divisors is an integer number (459001620).

Almost surely, 238857142688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38857142688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66096233280).

38857142688 is an abundant number, since it is smaller than the sum of its proper divisors (93335323872).

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

38857142688 is a wasteful number, since it uses less digits than its factorization.

38857142688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21980 (or 21965 counting only the distinct ones).

The product of its digits is 20643840, while the sum is 60.

The spelling of 38857142688 in words is "thirty-eight billion, eight hundred fifty-seven million, one hundred forty-two thousand, six hundred eighty-eight".