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38974711356 = 22347294197149
BaseRepresentation
bin100100010011000100…
…101110011000111100
310201121012210110220000
4210103010232120330
51114310011230411
625523231154300
72546554403040
oct442304563074
9121535713800
1038974711356
1115590232559
127678675990
1338a182c9a9
141c5a35a020
1510319ac956
hex91312e63c

38974711356 has 480 divisors, whose sum is σ = 125505072000. Its totient is φ = 10311598080.

The previous prime is 38974711351. The next prime is 38974711427. The reversal of 38974711356 is 65311747983.

38974711356 is a `hidden beast` number, since 38 + 9 + 7 + 471 + 135 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38974711351) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 261575170 + ... + 261575318.

It is an arithmetic number, because the mean of its divisors is an integer number (261468900).

Almost surely, 238974711356 is an apocalyptic number.

38974711356 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 38974711356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62752536000).

38974711356 is an abundant number, since it is smaller than the sum of its proper divisors (86530360644).

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

38974711356 is a wasteful number, since it uses less digits than its factorization.

38974711356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 328 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The spelling of 38974711356 in words is "thirty-eight billion, nine hundred seventy-four million, seven hundred eleven thousand, three hundred fifty-six".