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38483100396 = 2232131783101577
BaseRepresentation
bin100011110101110001…
…011000001011101100
310200022221202001102200
4203311301120023230
51112303133203041
625402350221500
72531434645656
oct436561301354
9120287661380
1038483100396
1115358785a04
12755bab4890
133823a24130
141c10d496d6
1510037501b6
hex8f5c582ec

38483100396 has 288 divisors, whose sum is σ = 113566235328. Its totient is φ = 10882252800.

The previous prime is 38483100361. The next prime is 38483100433. The reversal of 38483100396 is 69300138483.

38483100396 is a `hidden beast` number, since 3 + 84 + 83 + 100 + 396 = 666.

38483100396 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66694860 + ... + 66695436.

It is an arithmetic number, because the mean of its divisors is an integer number (394327206).

Almost surely, 238483100396 is an apocalyptic number.

38483100396 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 38483100396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56783117664).

38483100396 is an abundant number, since it is smaller than the sum of its proper divisors (75083134932).

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

38483100396 is a wasteful number, since it uses less digits than its factorization.

38483100396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 38483100396 in words is "thirty-eight billion, four hundred eighty-three million, one hundred thousand, three hundred ninety-six".