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969608001680 = 24512120100021
BaseRepresentation
bin11100001110000010010…
…00111111100010010000
310102200201122111221111122
432013001020333202100
5111341224122023210
62021233132301412
7130023535012643
oct16070110774220
93380648457448
10969608001680
1134423249180a
12137abb911868
1370583934296
1434d01d1ba5a
151a34d509b55
hexe1c123f890

969608001680 has 20 divisors (see below), whose sum is σ = 2254338604092. Its totient is φ = 387843200640.

The previous prime is 969608001667. The next prime is 969608001709. The reversal of 969608001680 is 86100806969.

It can be written as a sum of positive squares in 2 ways, for example, as 292555501456 + 677052500224 = 540884^2 + 822832^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6060049931 + ... + 6060050090.

Almost surely, 2969608001680 is an apocalyptic number.

It is an amenable number.

969608001680 is an abundant number, since it is smaller than the sum of its proper divisors (1284730602412).

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

969608001680 is a wasteful number, since it uses less digits than its factorization.

969608001680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12120100034 (or 12120100028 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 53.

The spelling of 969608001680 in words is "nine hundred sixty-nine billion, six hundred eight million, one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 12120100021 24240200042 48480400084 60600500105 96960800168 121201000210 193921600336 242402000420 484804000840 969608001680