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9942396608 = 2619181199227
BaseRepresentation
bin10010100001001110…
…01110111011000000
3221122220101002010102
421100213032323000
5130330223142413
64322324021532
7501244656014
oct112047167300
927586332112
109942396608
114242250801
121b158318a8
13c25a9c321
146a464a544
153d2cd0458
hex2509ceec0

9942396608 has 112 divisors (see below), whose sum is σ = 21079968000. Its totient is φ = 4639472640.

The previous prime is 9942396571. The next prime is 9942396641. The reversal of 9942396608 is 8066932499.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43798991 + ... + 43799217.

It is an arithmetic number, because the mean of its divisors is an integer number (188214000).

Almost surely, 29942396608 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 9942396608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10539984000).

9942396608 is an abundant number, since it is smaller than the sum of its proper divisors (11137571392).

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

9942396608 is a wasteful number, since it uses less digits than its factorization.

9942396608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 56.

The square root of 9942396608 is about 99711.5670722309. The cubic root of 9942396608 is about 2150.2899632715.

The spelling of 9942396608 in words is "nine billion, nine hundred forty-two million, three hundred ninety-six thousand, six hundred eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 181 199 227 304 362 398 454 608 724 796 908 1216 1448 1592 1816 2896 3184 3439 3632 3781 4313 5792 6368 6878 7264 7562 8626 11584 12736 13756 14528 15124 17252 27512 30248 34504 36019 41087 45173 55024 60496 69008 72038 82174 90346 110048 120992 138016 144076 164348 180692 220096 241984 276032 288152 328696 361384 576304 657392 684361 722768 780653 858287 1152608 1314784 1368722 1445536 1561306 1716574 2305216 2629568 2737444 2891072 3122612 3433148 5474888 6245224 6866296 8176313 10949776 12490448 13732592 16352626 21899552 24980896 27465184 32705252 43799104 49961792 54930368 65410504 130821008 155349947 261642016 310699894 523284032 621399788 1242799576 2485599152 4971198304 9942396608