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38930161920 = 2835132333347
BaseRepresentation
bin100100010000011010…
…110010000100000000
310201111002222010112220
4210100122302010000
51114212110140140
625515000251040
72545503626226
oct442032620400
9121432863486
1038930161920
1115568074941
127665770a80
133895532490
141c54480b16
15102cb0cbd0
hex9106b2100

38930161920 has 288 divisors, whose sum is σ = 134512140672. Its totient is φ = 9538830336.

The previous prime is 38930161913. The next prime is 38930161981. The reversal of 38930161920 is 2916103983.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11629687 + ... + 11633033.

It is an arithmetic number, because the mean of its divisors is an integer number (467056044).

Almost surely, 238930161920 is an apocalyptic number.

38930161920 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 38930161920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67256070336).

38930161920 is an abundant number, since it is smaller than the sum of its proper divisors (95581978752).

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

38930161920 is a wasteful number, since it uses less digits than its factorization.

38930161920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3617 (or 3603 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The spelling of 38930161920 in words is "thirty-eight billion, nine hundred thirty million, one hundred sixty-one thousand, nine hundred twenty".