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38934395136 = 2832713185699
BaseRepresentation
bin100100010000101010…
…111011100100000000
310201111101221012102200
4210100222323210000
51114214201121021
625515231113200
72545554620040
oct442052734400
9121441835380
1038934395136
111556a4a636a
127667072800
133896385240
141c54c63720
15102d197126
hex910abb900

38934395136 has 216 divisors, whose sum is σ = 138163771200. Its totient is φ = 10268356608.

The previous prime is 38934395131. The next prime is 38934395183. The reversal of 38934395136 is 63159343983.

38934395136 is a `hidden beast` number, since 3 + 8 + 93 + 4 + 39 + 513 + 6 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (38934395131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116815 + ... + 302513.

Almost surely, 238934395136 is an apocalyptic number.

38934395136 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 38934395136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69081885600).

38934395136 is an abundant number, since it is smaller than the sum of its proper divisors (99229376064).

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

38934395136 is a wasteful number, since it uses less digits than its factorization.

38934395136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185741 (or 185724 counting only the distinct ones).

The product of its digits is 6298560, while the sum is 54.

The spelling of 38934395136 in words is "thirty-eight billion, nine hundred thirty-four million, three hundred ninety-five thousand, one hundred thirty-six".