Search a number
-
+
38900697696 = 25327313716823
BaseRepresentation
bin100100001110101010…
…011000101001100000
310201102001112012020100
4210032222120221200
51114132034311241
625512024542400
72544665321550
oct441652305140
9121361465210
1038900697696
111555247aa43
127657921a00
13388c3b7323
141c505b1160
15102a23c9b6
hex90ea98a60

38900697696 has 288 divisors, whose sum is σ = 134040711168. Its totient is φ = 10464629760.

The previous prime is 38900697677. The next prime is 38900697749. The reversal of 38900697696 is 69679600983.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2303941 + ... + 2320763.

It is an arithmetic number, because the mean of its divisors is an integer number (465419136).

Almost surely, 238900697696 is an apocalyptic number.

38900697696 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 38900697696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67020355584).

38900697696 is an abundant number, since it is smaller than the sum of its proper divisors (95140013472).

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

38900697696 is a wasteful number, since it uses less digits than its factorization.

38900697696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16914 (or 16903 counting only the distinct ones).

The product of its (nonzero) digits is 26453952, while the sum is 63.

The spelling of 38900697696 in words is "thirty-eight billion, nine hundred million, six hundred ninety-seven thousand, six hundred ninety-six".