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9959492608 = 210133072437
BaseRepresentation
bin10010100011010000…
…11100110000000000
3221201002112122102121
421101220130300000
5130344112230413
64324134254024
7501543201412
oct112150346000
927632478377
109959492608
11425096822a
121b1b4b7314
13c294a69c0
146a6a1a9b2
153d455ab8d
hex251a1cc00

9959492608 has 88 divisors (see below), whose sum is σ = 21519406832. Its totient is φ = 4579835904.

The previous prime is 9959492549. The next prime is 9959492611. The reversal of 9959492608 is 8062949599.

It is a happy number.

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 7 ways as a sum of consecutive naturals, for example, 4085566 + ... + 4088002.

It is an arithmetic number, because the mean of its divisors is an integer number (244538714).

Almost surely, 29959492608 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 9959492608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10759703416).

9959492608 is an abundant number, since it is smaller than the sum of its proper divisors (11559914224).

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

9959492608 is a wasteful number, since it uses less digits than its factorization.

9959492608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2777 (or 2759 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 61.

The square root of 9959492608 is about 99797.2575174288. The cubic root of 9959492608 is about 2151.5217355937.

The spelling of 9959492608 in words is "nine billion, nine hundred fifty-nine million, four hundred ninety-two thousand, six hundred eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 307 416 512 614 832 1024 1228 1664 2437 2456 3328 3991 4874 4912 6656 7982 9748 9824 13312 15964 19496 19648 31681 31928 38992 39296 63362 63856 77984 78592 126724 127712 155968 157184 253448 255424 311936 314368 506896 510848 623872 748159 1013792 1021696 1247744 1496318 2027584 2043392 2495488 2992636 4055168 4086784 5985272 8110336 9726067 11970544 16220672 19452134 23941088 32441344 38904268 47882176 77808536 95764352 155617072 191528704 311234144 383057408 622468288 766114816 1244936576 2489873152 4979746304 9959492608