Search a number
-
+
9064604736 = 26321167131163
BaseRepresentation
bin10000111000100101…
…01110010001000000
3212101201122122001100
420130102232101000
5122031014322421
64055245534400
7440425604025
oct103422562100
925351578040
109064604736
113931807780
12190b874400
13b15c80155
1461dc3154c
15380bddc26
hex21c4ae440

9064604736 has 336 divisors, whose sum is σ = 29164531968. Its totient is φ = 2668723200.

The previous prime is 9064604711. The next prime is 9064604779. The reversal of 9064604736 is 6374064609.

9064604736 is a `hidden beast` number, since 9 + 0 + 6 + 4 + 604 + 7 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 9064604691 and 9064604700.

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, 55610991 + ... + 55611153.

Almost surely, 29064604736 is an apocalyptic number.

9064604736 is a gapful number since it is divisible by the number (96) 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 9064604736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14582265984).

9064604736 is an abundant number, since it is smaller than the sum of its proper divisors (20099927232).

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

9064604736 is a wasteful number, since it uses less digits than its factorization.

9064604736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 9064604736 is about 95208.2177965747. The cubic root of 9064604736 is about 2085.0491191437.

The spelling of 9064604736 in words is "nine billion, sixty-four million, six hundred four thousand, seven hundred thirty-six".