Search a number
-
+
38404106496 = 2832717140071
BaseRepresentation
bin100011110001000100…
…000010100100000000
310200010110002202011200
4203301010002210000
51112122422401441
625350445141200
72526455343030
oct436104024400
9120113082150
1038404106496
1115318131698
12753955a800
133810556992
141c046658c0
15eeb8497b6
hex8f1102900

38404106496 has 216 divisors, whose sum is σ = 133991754624. Its totient is φ = 10327080960.

The previous prime is 38404106471. The next prime is 38404106527. The reversal of 38404106496 is 69460140483.

It is a super-2 number, since 2×384041064962 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 204141 + ... + 344211.

Almost surely, 238404106496 is an apocalyptic number.

38404106496 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 38404106496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66995877312).

38404106496 is an abundant number, since it is smaller than the sum of its proper divisors (95587648128).

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

38404106496 is a wasteful number, since it uses less digits than its factorization.

38404106496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140117 (or 140100 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 38404106496 in words is "thirty-eight billion, four hundred four million, one hundred six thousand, four hundred ninety-six".