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9056480864 = 253144920333
BaseRepresentation
bin10000110111100111…
…01110111001100000
3212101011100220012012
420123303232321200
5122021424341424
64054355452052
7440266550204
oct103363567140
925334326165
109056480864
113928169132
121908bb7028
13b14397522
1461cb18b04
15380136b0e
hex21bceee60

9056480864 has 48 divisors (see below), whose sum is σ = 18447004800. Its totient is φ = 4372193280.

The previous prime is 9056480831. The next prime is 9056480879. The reversal of 9056480864 is 4680846509.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 435242 + ... + 455574.

It is an arithmetic number, because the mean of its divisors is an integer number (384312600).

Almost surely, 29056480864 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 9056480864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9223502400).

9056480864 is an abundant number, since it is smaller than the sum of its proper divisors (9390523936).

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

9056480864 is a wasteful number, since it uses less digits than its factorization.

9056480864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20823 (or 20815 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 50.

The square root of 9056480864 is about 95165.5445211133. The cubic root of 9056480864 is about 2084.4260460138.

The spelling of 9056480864 in words is "nine billion, fifty-six million, four hundred eighty thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 31 32 62 124 248 449 496 898 992 1796 3592 7184 13919 14368 20333 27838 40666 55676 81332 111352 162664 222704 325328 445408 630323 650656 1260646 2521292 5042584 9129517 10085168 18259034 20170336 36518068 73036136 146072272 283015027 292144544 566030054 1132060108 2264120216 4528240432 9056480864