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9954064952 = 2313414749669
BaseRepresentation
bin10010100010100111…
…01111101000111000
3221200201022220002022
421101103233220320
5130341220034302
64323422054012
7501446104346
oct112123575070
927621286068
109954064952
1142488a0367
121b1971a308
13c28326380
146a6006996
153d3d378a2
hex2514efa38

9954064952 has 64 divisors (see below), whose sum is σ = 21028291200. Its totient is φ = 4386677760.

The previous prime is 9954064933. The next prime is 9954064963. The reversal of 9954064952 is 2594604599.

It is a happy number.

9954064952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 9954064894 and 9954064903.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175574 + ... + 225242.

It is an arithmetic number, because the mean of its divisors is an integer number (328567050).

Almost surely, 29954064952 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 9954064952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10514145600).

9954064952 is an abundant number, since it is smaller than the sum of its proper divisors (11074226248).

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

9954064952 is a wasteful number, since it uses less digits than its factorization.

9954064952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49776 (or 49772 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 53.

The square root of 9954064952 is about 99770.0603988992. The cubic root of 9954064952 is about 2151.1308240514.

The spelling of 9954064952 in words is "nine billion, nine hundred fifty-four million, sixty-four thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 13 26 41 47 52 82 94 104 164 188 328 376 533 611 1066 1222 1927 2132 2444 3854 4264 4888 7708 15416 25051 49669 50102 99338 100204 198676 200408 397352 645697 1291394 2036429 2334443 2582788 4072858 4668886 5165576 8145716 9337772 16291432 18675544 26473577 30347759 52947154 60695518 95712163 105894308 121391036 191424326 211788616 242782072 382848652 765697304 1244258119 2488516238 4977032476 9954064952