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38889978624 = 2832741103571
BaseRepresentation
bin100100001110000001…
…011111101100000000
310201101022100121102200
4210032001133230000
51114121313303444
625511003113200
72544505235610
oct441601375400
9121338317380
1038889978624
1115547419602
127654212800
13388a103393
141c4cdc0a40
151029321969
hex90e05fb00

38889978624 has 432 divisors, whose sum is σ = 132780071424. Its totient is φ = 10716364800.

The previous prime is 38889978619. The next prime is 38889978637. The reversal of 38889978624 is 42687998883.

38889978624 is a `hidden beast` number, since 388 + 89 + 97 + 86 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

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, 68108259 + ... + 68108829.

Almost surely, 238889978624 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 38889978624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66390035712).

38889978624 is an abundant number, since it is smaller than the sum of its proper divisors (93890092800).

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

38889978624 is a wasteful number, since it uses less digits than its factorization.

38889978624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 727 counting only the distinct ones).

The product of its digits is 334430208, while the sum is 72.

The spelling of 38889978624 in words is "thirty-eight billion, eight hundred eighty-nine million, nine hundred seventy-eight thousand, six hundred twenty-four".