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238396313376 = 253313199106657
BaseRepresentation
bin1101111000000110000…
…1110000111100100000
3211210100020201111112000
43132001201300330200
512401213424012001
6301303500204000
723136453141414
oct3360141607440
9753306644460
10238396313376
119211555a7a1
123a252539600
1319633077930
14b7776b8d44
15630427ea86
hex3781870f20

238396313376 has 192 divisors, whose sum is σ = 752578848000. Its totient is φ = 72983420928.

The previous prime is 238396313371. The next prime is 238396313381. The reversal of 238396313376 is 673313693832.

238396313376 is a `hidden beast` number, since 2 + 383 + 9 + 63 + 133 + 76 = 666.

It is an interprime number because it is at equal distance from previous prime (238396313371) and next prime (238396313381).

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 (238396313371) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2181840 + ... + 2288496.

It is an arithmetic number, because the mean of its divisors is an integer number (3919681500).

Almost surely, 2238396313376 is an apocalyptic number.

238396313376 is a gapful number since it is divisible by the number (26) 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 238396313376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376289424000).

238396313376 is an abundant number, since it is smaller than the sum of its proper divisors (514182534624).

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

238396313376 is a wasteful number, since it uses less digits than its factorization.

238396313376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106888 (or 106874 counting only the distinct ones).

The product of its digits is 8817984, while the sum is 54.

The spelling of 238396313376 in words is "two hundred thirty-eight billion, three hundred ninety-six million, three hundred thirteen thousand, three hundred seventy-six".