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9078334464 = 210329181563
BaseRepresentation
bin10000111010001110…
…00110010000000000
3212102200111011200210
420131013012100000
5122043023200324
64100500114120
7440653366263
oct103507062000
925380434623
109078334464
113939535061
121914395940
13b18a79554
146219a6cda
15382001d29
hex21d1c6400

9078334464 has 176 divisors, whose sum is σ = 25214454720. Its totient is φ = 2900459520.

The previous prime is 9078334427. The next prime is 9078334471. The reversal of 9078334464 is 4644338709.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16124647 + ... + 16125209.

Almost surely, 29078334464 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 9078334464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12607227360).

9078334464 is an abundant number, since it is smaller than the sum of its proper divisors (16136120256).

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

9078334464 is a wasteful number, since it uses less digits than its factorization.

9078334464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The square root of 9078334464 is about 95280.2942060949. The cubic root of 9078334464 is about 2086.1012965177.

The spelling of 9078334464 in words is "nine billion, seventy-eight million, three hundred thirty-four thousand, four hundred sixty-four".