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9064709640 = 2332577945533
BaseRepresentation
bin10000111000100110…
…00111111000001000
3212101201211221221200
420130103013320020
5122031031202030
64055252104200
7440426521620
oct103423077010
925351757850
109064709640
113931879578
12190b905060
13b15cb8b1c
1461dc5b880
15380c0ed60
hex21c4c7e08

9064709640 has 192 divisors, whose sum is σ = 34095859200. Its totient is φ = 2045661696.

The previous prime is 9064709629. The next prime is 9064709651. The reversal of 9064709640 is 469074609.

9064709640 is a `hidden beast` number, since 90 + 6 + 470 + 96 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (9064709629) and next prime (9064709651).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 176314 + ... + 221846.

It is an arithmetic number, because the mean of its divisors is an integer number (177582600).

Almost surely, 29064709640 is an apocalyptic number.

9064709640 is a gapful number since it is divisible by the number (90) 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 9064709640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17047929600).

9064709640 is an abundant number, since it is smaller than the sum of its proper divisors (25031149560).

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

9064709640 is a wasteful number, since it uses less digits than its factorization.

9064709640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45636 (or 45629 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 9064709640 is about 95208.7687138112. The cubic root of 9064709640 is about 2085.0571624857.

The spelling of 9064709640 in words is "nine billion, sixty-four million, seven hundred nine thousand, six hundred forty".