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9954151844 = 2272133906653
BaseRepresentation
bin10010100010101000…
…00100110110100100
3221200201111022021112
421101110010312210
5130341230324334
64323424004152
7501446615600
oct112124046644
927621438245
109954151844
11424894a67a
121b19760658
13c28356aa0
146a602a500
153d3d534ce
hex251504da4

9954151844 has 36 divisors (see below), whose sum is σ = 21822569244. Its totient is φ = 3937905216.

The previous prime is 9954151819. The next prime is 9954151849. The reversal of 9954151844 is 4481514599.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6330111844 + 3624040000 = 79562^2 + 60200^2 .

It is a junction number, because it is equal to n+sod(n) for n = 9954151792 and 9954151801.

It is not an unprimeable number, because it can be changed into a prime (9954151849) 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 11 ways as a sum of consecutive naturals, for example, 1950779 + ... + 1955874.

It is an arithmetic number, because the mean of its divisors is an integer number (606182479).

Almost surely, 29954151844 is an apocalyptic number.

It is an amenable number.

9954151844 is an abundant number, since it is smaller than the sum of its proper divisors (11868417400).

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

9954151844 is a wasteful number, since it uses less digits than its factorization.

9954151844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3906684 (or 3906675 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 50.

The square root of 9954151844 is about 99770.4958592469. The cubic root of 9954151844 is about 2151.1370833205.

The spelling of 9954151844 in words is "nine billion, nine hundred fifty-four million, one hundred fifty-one thousand, eight hundred forty-four".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 182 196 364 637 1274 2548 3906653 7813306 15626612 27346571 50786489 54693142 101572978 109386284 191425997 203145956 355505423 382851994 711010846 765703988 1422021692 2488537961 4977075922 9954151844