Search a number
-
+
38057986680 = 23357835411009
BaseRepresentation
bin100011011100011011…
…101100101001111000
310122020022211001001020
4203130123230221320
51110420321033210
625252242422440
72515053356250
oct433433545170
9118208731036
1038057986680
111515a81775a
127461661a20
13378692b95c
141bb06c8960
15ecb27a770
hex8dc6eca78

38057986680 has 256 divisors, whose sum is σ = 132431846400. Its totient is φ = 8569774080.

The previous prime is 38057986609. The next prime is 38057986699. The reversal of 38057986680 is 8668975083.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37718016 + ... + 37719024.

It is an arithmetic number, because the mean of its divisors is an integer number (517311900).

Almost surely, 238057986680 is an apocalyptic number.

38057986680 is a gapful number since it is divisible by the number (30) 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 38057986680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66215923200).

38057986680 is an abundant number, since it is smaller than the sum of its proper divisors (94373859720).

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

38057986680 is a wasteful number, since it uses less digits than its factorization.

38057986680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1654 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 60.

The spelling of 38057986680 in words is "thirty-eight billion, fifty-seven million, nine hundred eighty-six thousand, six hundred eighty".