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38343560112 = 2433111317291259
BaseRepresentation
bin100011101101011101…
…000100101110110000
310122222020011200011000
4203231131010232300
51112011422410422
625340443322000
72525121611664
oct435535045660
9118866150130
1038343560112
1115296a38260
127521220300
133800b48110
141bda5c48a4
15ee6389cac
hex8ed744bb0

38343560112 has 640 divisors, whose sum is σ = 141740928000. Its totient is φ = 9738731520.

The previous prime is 38343560089. The next prime is 38343560113. The reversal of 38343560112 is 21106534383.

38343560112 is a `hidden beast` number, since 3 + 8 + 3 + 4 + 35 + 601 + 12 = 666.

38343560112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (38343560113) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30454939 + ... + 30456197.

It is an arithmetic number, because the mean of its divisors is an integer number (221470200).

Almost surely, 238343560112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38343560112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70870464000).

38343560112 is an abundant number, since it is smaller than the sum of its proper divisors (103397367888).

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

38343560112 is a wasteful number, since it uses less digits than its factorization.

38343560112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 38343560112 in words is "thirty-eight billion, three hundred forty-three million, five hundred sixty thousand, one hundred twelve".