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9966807696 = 2432959121357
BaseRepresentation
bin10010100100001000…
…10110101010010000
3221201121022021211210
421102010112222100
5130403000321241
64324555140120
7501662316246
oct112204265220
927647267753
109966807696
11425500415a
121b21a44640
13c2ab68461
146a79a2796
153d5003316
hex252116a90

9966807696 has 80 divisors (see below), whose sum is σ = 27087105600. Its totient is φ = 3153314304.

The previous prime is 9966807691. The next prime is 9966807709. The reversal of 9966807696 is 6967086699.

It is not an unprimeable number, because it can be changed into a prime (9966807691) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21450 + ... + 142806.

It is an arithmetic number, because the mean of its divisors is an integer number (338588820).

Almost surely, 29966807696 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 9966807696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13543552800).

9966807696 is an abundant number, since it is smaller than the sum of its proper divisors (17120297904).

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

9966807696 is a wasteful number, since it uses less digits than its factorization.

9966807696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121456 (or 121450 counting only the distinct ones).

The product of its (nonzero) digits is 52907904, while the sum is 66.

The square root of 9966807696 is about 99833.9005348384. The cubic root of 9966807696 is about 2152.0483594482.

The spelling of 9966807696 in words is "nine billion, nine hundred sixty-six million, eight hundred seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 59 87 116 118 174 177 232 236 348 354 464 472 696 708 944 1392 1416 1711 2832 3422 5133 6844 10266 13688 20532 27376 41064 82128 121357 242714 364071 485428 728142 970856 1456284 1941712 2912568 3519353 5825136 7038706 7160063 10558059 14077412 14320126 21116118 21480189 28154824 28640252 42232236 42960378 56309648 57280504 84464472 85920756 114561008 168928944 171841512 207641827 343683024 415283654 622925481 830567308 1245850962 1661134616 2491701924 3322269232 4983403848 9966807696