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38078695620 = 223357311073037
BaseRepresentation
bin100011011101101010…
…101100100011000100
310122021202210011101000
4203131222230203010
51110441121224440
625254302333300
72515424400210
oct433552544304
9118252704330
1038078695620
1115170481689
12746858a230
13378accc974
141bb3359940
15eccebb730
hex8ddaac8c4

38078695620 has 384 divisors, whose sum is σ = 141110968320. Its totient is φ = 8341470720.

The previous prime is 38078695609. The next prime is 38078695621. The reversal of 38078695620 is 2659687083.

It is a happy number.

38078695620 is a `hidden beast` number, since 3 + 8 + 0 + 7 + 8 + 6 + 9 + 5 + 620 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (38078695621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12536742 + ... + 12539778.

It is an arithmetic number, because the mean of its divisors is an integer number (367476480).

Almost surely, 238078695620 is an apocalyptic number.

38078695620 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 38078695620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70555484160).

38078695620 is an abundant number, since it is smaller than the sum of its proper divisors (103032272700).

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

38078695620 is a wasteful number, since it uses less digits than its factorization.

38078695620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3200 (or 3192 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 38078695620 in words is "thirty-eight billion, seventy-eight million, six hundred ninety-five thousand, six hundred twenty".