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996000000966 = 2321031319407291
BaseRepresentation
bin11100111111001100011…
…10011110101111000110
310112012211221201102100200
432133212032132233012
5112304302000012331
62041320040351330
7131646544215165
oct16374616365706
93465757642320
10996000000966
11354446042473
12141046475546
1372bcb6776c9
14362c70d33dc
151ad954e15e6
hexe7e639ebc6

996000000966 has 48 divisors (see below), whose sum is σ = 2180608784640. Its totient is φ = 328526630640.

The previous prime is 996000000953. The next prime is 996000000973. The reversal of 996000000966 is 669000000699.

996000000966 is a strobogrammatic number because it is the same when read upside-down.

It is a congruent number.

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, 2241781 + ... + 2649071.

It is an arithmetic number, because the mean of its divisors is an integer number (45429349680).

Almost surely, 2996000000966 is an apocalyptic number.

996000000966 is an abundant number, since it is smaller than the sum of its proper divisors (1184608783674).

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

996000000966 is a wasteful number, since it uses less digits than its factorization.

996000000966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408721 (or 408718 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The spelling of 996000000966 in words is "nine hundred ninety-six billion, nine hundred sixty-six", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 103 206 309 618 927 1319 1854 2638 3957 7914 11871 23742 135857 271714 407291 407571 814582 815142 1221873 1222713 2443746 2445426 3665619 7331238 41950973 83901946 125852919 251705838 377558757 537216829 755117514 1074433658 1611650487 3223300974 4834951461 9669902922 55333333387 110666666774 166000000161 332000000322 498000000483 996000000966