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38857820976 = 243213316611013
BaseRepresentation
bin100100001100000110…
…110100101100110000
310201022001211211102200
4210030012310230300
51114040100232401
625503453543200
72543635012542
oct441406645460
9121261754380
1038857820976
1115530255037
1276454a4b00
1338835542a0
141c48a0d692
1510265bd686
hex90c1b4b30

38857820976 has 240 divisors, whose sum is σ = 121193409792. Its totient is φ = 11541657600.

The previous prime is 38857820957. The next prime is 38857821011. The reversal of 38857820976 is 67902875883.

38857820976 is a `hidden beast` number, since 38 + 8 + 578 + 20 + 9 + 7 + 6 = 666.

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, 38358646 + ... + 38359658.

Almost surely, 238857820976 is an apocalyptic number.

38857820976 is a gapful number since it is divisible by the number (36) 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 38857820976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60596704896).

38857820976 is an abundant number, since it is smaller than the sum of its proper divisors (82335588816).

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

38857820976 is a wasteful number, since it uses less digits than its factorization.

38857820976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1732 (or 1723 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 38857820976 in words is "thirty-eight billion, eight hundred fifty-seven million, eight hundred twenty thousand, nine hundred seventy-six".