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9939508900 = 2252653152213
BaseRepresentation
bin10010100000111000…
…01101111010100100
3221122200221100221021
421100130031322210
5130324003241100
64322142100524
7501211301026
oct112034157244
927580840837
109939508900
114240659172
121b1487a744
13c252cab19
146a40d8016
153d290ea1a
hex25070dea4

9939508900 has 36 divisors (see below), whose sum is σ = 21601906452. Its totient is φ = 3969688960.

The previous prime is 9939508853. The next prime is 9939508937. The reversal of 9939508900 is 98059399.

It can be written as a sum of positive squares in 6 ways, for example, as 2946535524 + 6992973376 = 54282^2 + 83624^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10807 + ... + 141406.

It is an arithmetic number, because the mean of its divisors is an integer number (600052957).

Almost surely, 29939508900 is an apocalyptic number.

It is an amenable number.

9939508900 is an abundant number, since it is smaller than the sum of its proper divisors (11662397552).

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

9939508900 is a wasteful number, since it uses less digits than its factorization.

9939508900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152880 (or 152873 counting only the distinct ones).

The product of its (nonzero) digits is 787320, while the sum is 52.

The square root of 9939508900 is about 99697.0857146787. The cubic root of 9939508900 is about 2150.0817636113.

The spelling of 9939508900 in words is "nine billion, nine hundred thirty-nine million, five hundred eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 653 1306 2612 3265 6530 13060 16325 32650 65300 152213 304426 608852 761065 1522130 3044260 3805325 7610650 15221300 99395089 198790178 397580356 496975445 993950890 1987901780 2484877225 4969754450 9939508900