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9932912896 = 2862292
BaseRepresentation
bin10010100000000110…
…00011100100000000
3221122020112020220211
421100003003210000
5130320311203041
64321344443504
7501101236504
oct112003034400
927566466824
109932912896
114237963525
121b12619594
13c23b2b76a
146a329c304
153d205a481
hex2500c3900

9932912896 has 27 divisors (see below), whose sum is σ = 19830208881. Its totient is φ = 4965659136.

The previous prime is 9932912819. The next prime is 9932912897. The reversal of 9932912896 is 6982192399.

The square root of 9932912896 is 99664.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5021706496 + 4911206400 = 70864^2 + 70080^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 9932912896.

It is not an unprimeable number, because it can be changed into a prime (9932912897) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1591510 + ... + 1597738.

Almost surely, 29932912896 is an apocalyptic number.

9932912896 is the 99664-th square number.

It is an amenable number.

9932912896 is a deficient number, since it is larger than the sum of its proper divisors (9897295985).

9932912896 is an frugal number, since it uses more digits than its factorization.

9932912896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12474 (or 6231 counting only the distinct ones).

The product of its digits is 3779136, while the sum is 58.

The cubic root of 9932912896 is about 2149.6060497596.

It can be divided in two parts, 99329 and 12896, that added together give a square (112225 = 3352).

The spelling of 9932912896 in words is "nine billion, nine hundred thirty-two million, nine hundred twelve thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 128 256 6229 12458 24916 49832 99664 199328 398656 797312 1594624 38800441 77600882 155201764 310403528 620807056 1241614112 2483228224 4966456448 9932912896