Search a number
-
+
38807901216 = 2532724167073
BaseRepresentation
bin100100001001001000…
…011001010000100000
310201011120220122101200
4210021020121100200
51113434310314331
625454512001200
72542460501100
oct441110312040
9121146818350
1038807901216
1115505059637
127630830200
1338760c6576
141c42137200
15102200c5e6
hex909219420

38807901216 has 216 divisors, whose sum is σ = 131511052764. Its totient is φ = 10817372160.

The previous prime is 38807901191. The next prime is 38807901227. The reversal of 38807901216 is 61210970883.

It can be written as a sum of positive squares in 2 ways, for example, as 38801120400 + 6780816 = 196980^2 + 2604^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 545056 + ... + 612128.

Almost surely, 238807901216 is an apocalyptic number.

38807901216 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 38807901216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65755526382).

38807901216 is an abundant number, since it is smaller than the sum of its proper divisors (92703151548).

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

38807901216 is a wasteful number, since it uses less digits than its factorization.

38807901216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67144 (or 67126 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 38807901216 in words is "thirty-eight billion, eight hundred seven million, nine hundred one thousand, two hundred sixteen".