Search a number
-
+
8640832044096 = 263472177128183
BaseRepresentation
bin111110110111101100110…
…1110010111110001000000
31010121001111102221012210000
41331233121232113301000
52113032411000402341
630213313214440000
71551164605342500
oct175573156276100
933531442835700
108640832044096
11283161347191a
12b76799203000
134a8a99ac62b5
1421c30b7dba00
15eeb7b8718b6
hex7dbd9b97c40

8640832044096 has 840 divisors, whose sum is σ = 31994223820416. Its totient is φ = 2290777251840.

The previous prime is 8640832044073. The next prime is 8640832044107. The reversal of 8640832044096 is 6904402380468.

8640832044096 is a `hidden beast` number, since 86 + 4 + 0 + 8 + 32 + 0 + 440 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 306583221 + ... + 306611403.

Almost surely, 28640832044096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8640832044096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15997111910208).

8640832044096 is an abundant number, since it is smaller than the sum of its proper divisors (23353391776320).

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

8640832044096 is a wasteful number, since it uses less digits than its factorization.

8640832044096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28309 (or 28283 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 8640832044096 in words is "eight trillion, six hundred forty billion, eight hundred thirty-two million, forty-four thousand, ninety-six".