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9955976368 = 2413311997759
BaseRepresentation
bin10010100010110110…
…00010010010110000
3221200211221000001111
421101123002102300
5130342212220433
64323531043104
7501501255112
oct112133022260
927624830044
109955976368
114249986448
121b1a2a0494
13c288453a0
146a63833b2
153d40b3dcd
hex2516c24b0

9955976368 has 80 divisors (see below), whose sum is σ = 21554176000. Its totient is φ = 4423921920.

The previous prime is 9955976363. The next prime is 9955976369. The reversal of 9955976368 is 8636795599.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (9955976363) 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 15 ways as a sum of consecutive naturals, for example, 1279273 + ... + 1287031.

It is an arithmetic number, because the mean of its divisors is an integer number (269427200).

Almost surely, 29955976368 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 9955976368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10777088000).

9955976368 is an abundant number, since it is smaller than the sum of its proper divisors (11598199632).

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

9955976368 is a wasteful number, since it uses less digits than its factorization.

9955976368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8010 (or 8004 counting only the distinct ones).

The product of its digits is 110224800, while the sum is 67.

The square root of 9955976368 is about 99779.6390452481. The cubic root of 9955976368 is about 2151.2685045783.

The spelling of 9955976368 in words is "nine billion, nine hundred fifty-five million, nine hundred seventy-six thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 31 52 62 104 124 199 208 248 398 403 496 796 806 1592 1612 2587 3184 3224 5174 6169 6448 7759 10348 12338 15518 20696 24676 31036 41392 49352 62072 80197 98704 100867 124144 160394 201734 240529 320788 403468 481058 641576 806936 962116 1283152 1544041 1613872 1924232 3088082 3126877 3848464 6176164 6253754 12352328 12507508 20072533 24704656 25015016 40145066 47865271 50030032 80290132 95730542 160580264 191461084 321160528 382922168 622248523 765844336 1244497046 2488994092 4977988184 9955976368