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9986001768 = 2332902915361
BaseRepresentation
bin10010100110011011…
…00100101101101000
3221202221102110011100
421103031210231220
5130422404024033
64330522401400
7502314420531
oct112315445550
927687373140
109986001768
114264923a26
121b28360260
13c31b28ab2
146aa35b688
153d6a45513
hex253364b68

9986001768 has 48 divisors (see below), whose sum is σ = 27050177700. Its totient is φ = 3328081920.

The previous prime is 9986001737. The next prime is 9986001769. The reversal of 9986001768 is 8671006899.

It can be written as a sum of positive squares in 2 ways, for example, as 7593031044 + 2392970724 = 87138^2 + 48918^2 .

It is not an unprimeable number, because it can be changed into a prime (9986001769) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 642408 + ... + 657768.

Almost surely, 29986001768 is an apocalyptic number.

It is an amenable number.

9986001768 is an abundant number, since it is smaller than the sum of its proper divisors (17064175932).

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

9986001768 is a wasteful number, since it uses less digits than its factorization.

9986001768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24402 (or 24395 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The square root of 9986001768 is about 99929.9843290291. The cubic root of 9986001768 is about 2153.4289447099.

The spelling of 9986001768 in words is "nine billion, nine hundred eighty-six million, one thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 9029 15361 18058 27087 30722 36116 46083 54174 61444 72232 81261 92166 108348 122888 138249 162522 184332 216696 276498 325044 368664 552996 650088 1105992 138694469 277388938 416083407 554777876 832166814 1109555752 1248250221 1664333628 2496500442 3328667256 4993000884 9986001768