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9965661290 = 2513217346873
BaseRepresentation
bin10010100011111111…
…11110110001101010
3221201112011001021022
421101333332301222
5130402202130130
64324514412442
7501646503044
oct112177766152
927645131238
109965661290
1142543a0912
121b21591122
13c2a856700
146a7784a94
153d4d787e5
hex251ffec6a

9965661290 has 48 divisors (see below), whose sum is σ = 20566853208. Its totient is φ = 3463170048.

The previous prime is 9965661281. The next prime is 9965661319. The reversal of 9965661290 is 921665699.

It can be written as a sum of positive squares in 12 ways, for example, as 1440278401 + 8525382889 = 37951^2 + 92333^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144707 + ... + 202166.

Almost surely, 29965661290 is an apocalyptic number.

9965661290 is an abundant number, since it is smaller than the sum of its proper divisors (10601191918).

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

9965661290 is a wasteful number, since it uses less digits than its factorization.

9965661290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346923 (or 346910 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 53.

The square root of 9965661290 is about 99828.1588030151. The cubic root of 9965661290 is about 2151.9658450389.

The spelling of 9965661290 in words is "nine billion, nine hundred sixty-five million, six hundred sixty-one thousand, two hundred ninety".

Divisors: 1 2 5 10 13 17 26 34 65 85 130 169 170 221 338 442 845 1105 1690 2210 2873 5746 14365 28730 346873 693746 1734365 3468730 4509349 5896841 9018698 11793682 22546745 29484205 45093490 58621537 58968410 76658933 117243074 153317866 293107685 383294665 586215370 766589330 996566129 1993132258 4982830645 9965661290