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38922992640 = 2103357192973
BaseRepresentation
bin100100001111111111…
…011011110000000000
310201110121110220011000
4210033333123300000
51114203241231030
625514142452000
72545355656440
oct441777336000
9121417426130
1038922992640
1115564018514
127663294000
133893bc21bc
141c53536120
15102c193860
hex90ffdbc00

38922992640 has 1408 divisors, whose sum is σ = 174502656000. Its totient is φ = 8026324992.

The previous prime is 38922992629. The next prime is 38922992657. The reversal of 38922992640 is 4629922983.

38922992640 is a `hidden beast` number, since 3 + 8 + 92 + 299 + 264 + 0 = 666.

38922992640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 533191644 + ... + 533191716.

Almost surely, 238922992640 is an apocalyptic number.

38922992640 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 38922992640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87251328000).

38922992640 is an abundant number, since it is smaller than the sum of its proper divisors (135579663360).

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

38922992640 is a wasteful number, since it uses less digits than its factorization.

38922992640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 38922992640 in words is "thirty-eight billion, nine hundred twenty-two million, nine hundred ninety-two thousand, six hundred forty".