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9120061568 = 272323672
BaseRepresentation
bin10000111111001100…
…10001100010000000
3212112121000010112002
420133212101202000
5122134213432233
64104550323132
7442001146532
oct103746214200
925477003462
109120061568
113960045272
1219263594a8
13b245c9247
14627349852
153859e56e8
hex21f991880

9120061568 has 72 divisors (see below), whose sum is σ = 19045062855. Its totient is φ = 4349883648.

The previous prime is 9120061567. The next prime is 9120061571. The reversal of 9120061568 is 8651600219.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 4560030784 + 4560030784 = 67528^2 + 67528^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=67528.

It is a super-2 number, since 2×91200615682 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9120061567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 24850121 + ... + 24850487.

Almost surely, 29120061568 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 9120061568

9120061568 is an abundant number, since it is smaller than the sum of its proper divisors (9925001287).

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

9120061568 is an frugal number, since it uses more digits than its factorization.

9120061568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 38.

The square root of 9120061568 is about 95499.0134399304. The cubic root of 9120061568 is about 2089.2925551426.

The spelling of 9120061568 in words is "nine billion, one hundred twenty million, sixty-one thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 367 368 529 734 736 1058 1468 1472 2116 2936 2944 4232 5872 8441 8464 11744 16882 16928 23488 33764 33856 46976 67528 67712 134689 135056 194143 269378 270112 388286 538756 540224 776572 1077512 1080448 1553144 2155024 3097847 3106288 4310048 6195694 6212576 8620096 12391388 12425152 17240192 24782776 24850304 49565552 71250481 99131104 142500962 198262208 285001924 396524416 570003848 1140007696 2280015392 4560030784 9120061568