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9950500900 = 2252315371853
BaseRepresentation
bin10010100010001100…
…01001100000100100
3221200110121211010101
421101012021200210
5130334312012100
64323213433444
7501403601464
oct112106114044
927613554111
109950500900
11424688666a
121b1849b884
13c27679072
146a5759ba4
153d388186a
hex251189824

9950500900 has 144 divisors (see below), whose sum is σ = 23056524288. Its totient is φ = 3721536000.

The previous prime is 9950500897. The next prime is 9950500921. The reversal of 9950500900 is 90050599.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 9950500900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11664874 + ... + 11665726.

It is an arithmetic number, because the mean of its divisors is an integer number (160114752).

Almost surely, 29950500900 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 9950500900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11528262144).

9950500900 is an abundant number, since it is smaller than the sum of its proper divisors (13106023388).

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

9950500900 is a wasteful number, since it uses less digits than its factorization.

9950500900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 18225, while the sum is 37.

The square root of 9950500900 is about 99752.1974695295. The cubic root of 9950500900 is about 2150.8740560087.

The spelling of 9950500900 in words is "nine billion, nine hundred fifty million, five hundred thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 31 50 53 62 71 100 106 124 142 155 212 265 284 310 355 530 620 710 775 853 1060 1325 1420 1550 1643 1706 1775 2201 2650 3100 3286 3412 3550 3763 4265 4402 5300 6572 7100 7526 8215 8530 8804 11005 15052 16430 17060 18815 21325 22010 26443 32860 37630 41075 42650 44020 45209 52886 55025 60563 75260 82150 85300 90418 94075 105772 110050 116653 121126 132215 164300 180836 188150 220100 226045 233306 242252 264430 302815 376300 452090 466612 528860 583265 605630 661075 904180 1130225 1166530 1211260 1322150 1401479 1514075 1877453 2260450 2333060 2644300 2802958 2916325 3028150 3209839 3754906 4520900 5605916 5832650 6056300 6419678 7007395 7509812 9387265 11665300 12839356 14014790 16049195 18774530 28029580 32098390 35036975 37549060 46936325 64196780 70073950 80245975 93872650 99505009 140147900 160491950 187745300 199010018 320983900 398020036 497525045 995050090 1990100180 2487625225 4975250450 9950500900