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38132119116 = 223371322916943
BaseRepresentation
bin100011100000110110…
…011111011001001100
310122102111022100122000
4203200312133121030
51111043310302431
625303451352300
72516643443640
oct434066373114
9118374270560
1038132119116
1115198650533
127482452690
1337990b63c0
141bba4a4c20
15ed2a209e6
hex8e0d9f64c

38132119116 has 192 divisors, whose sum is σ = 122213683200. Its totient is φ = 10012315392.

The previous prime is 38132119097. The next prime is 38132119117. The reversal of 38132119116 is 61191123183.

It is a happy number.

38132119116 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 (38132119117) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2242141 + ... + 2259083.

It is an arithmetic number, because the mean of its divisors is an integer number (636529600).

Almost surely, 238132119116 is an apocalyptic number.

38132119116 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 38132119116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61106841600).

38132119116 is an abundant number, since it is smaller than the sum of its proper divisors (84081564084).

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

38132119116 is a wasteful number, since it uses less digits than its factorization.

38132119116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17205 (or 17197 counting only the distinct ones).

The product of its digits is 7776, while the sum is 36.

The spelling of 38132119116 in words is "thirty-eight billion, one hundred thirty-two million, one hundred nineteen thousand, one hundred sixteen".