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9851980864 = 2611103913469
BaseRepresentation
bin10010010110011100…
…10100110001000000
3221102121020111001011
421023032110301000
5130134101341424
64305334050304
7466066312165
oct111316246100
927377214034
109851980864
1141a6206050
121aab4a9994
13c1013309b
1469663206c
153c9dc0694
hex24b394c40

9851980864 has 56 divisors (see below), whose sum is σ = 21349411200. Its totient is φ = 4473530880.

The previous prime is 9851980837. The next prime is 9851980903. The reversal of 9851980864 is 4680891589.

It is a junction number, because it is equal to n+sod(n) for n = 9851980799 and 9851980808.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 724722 + ... + 738190.

Almost surely, 29851980864 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 9851980864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10674705600).

9851980864 is an abundant number, since it is smaller than the sum of its proper divisors (11497430336).

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

9851980864 is a wasteful number, since it uses less digits than its factorization.

9851980864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14531 (or 14521 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 58.

The square root of 9851980864 is about 99257.1451533843. The cubic root of 9851980864 is about 2143.7518880110.

The spelling of 9851980864 in words is "nine billion, eight hundred fifty-one million, nine hundred eighty thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 1039 2078 4156 8312 11429 13469 16624 22858 26938 33248 45716 53876 66496 91432 107752 148159 182864 215504 296318 365728 431008 592636 731456 862016 1185272 2370544 4741088 9482176 13994291 27988582 55977164 111954328 153937201 223908656 307874402 447817312 615748804 895634624 1231497608 2462995216 4925990432 9851980864