Search a number
-
+
38850204096 = 26331119971109
BaseRepresentation
bin100100001011101001…
…110001000111000000
310201021112111212001000
4210023221301013000
51114031123012341
625503022412000
72543513200104
oct441351610700
9121245455030
1038850204096
1115526a223a0
127642a31000
133881ab8362
141c479c9904
151025ab68b6
hex90ba711c0

38850204096 has 448 divisors, whose sum is σ = 132624576000. Its totient is φ = 11028234240.

The previous prime is 38850204011. The next prime is 38850204161. The reversal of 38850204096 is 69040205883.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35031190 + ... + 35032298.

It is an arithmetic number, because the mean of its divisors is an integer number (296037000).

Almost surely, 238850204096 is an apocalyptic number.

38850204096 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 38850204096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66312288000).

38850204096 is an abundant number, since it is smaller than the sum of its proper divisors (93774371904).

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

38850204096 is a wasteful number, since it uses less digits than its factorization.

38850204096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 38850204096 in words is "thirty-eight billion, eight hundred fifty million, two hundred four thousand, ninety-six".