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108864362916 = 223212724332
BaseRepresentation
bin110010101100011010…
…0100101100110100100
3101101222221111122011100
41211120310211212210
53240423234103131
6122002301040100
710602521550111
oct1453064454644
9341887448140
10108864362916
1142195105171
1219122556030
13a35c14c4ba
1453aa449908
152c725727e6
hex1958d259a4

108864362916 has 81 divisors (see below), whose sum is σ = 278010843201. Its totient is φ = 35919241344.

The previous prime is 108864362911. The next prime is 108864362941. The reversal of 108864362916 is 619263468801.

The square root of 108864362916 is 329946.

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

108864362916 is a `hidden beast` number, since 1 + 0 + 8 + 8 + 6 + 4 + 3 + 629 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12208040100 + 96656322816 = 110490^2 + 310896^2 .

It is not an unprimeable number, because it can be changed into a prime (108864362911) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 251418636 + ... + 251419068.

Almost surely, 2108864362916 is an apocalyptic number.

108864362916 is the 329946-th square number.

It is an amenable number.

108864362916 is an abundant number, since it is smaller than the sum of its proper divisors (169146480285).

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

108864362916 is an equidigital number, since it uses as much as digits as its factorization.

108864362916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 108864362916 in words is "one hundred eight billion, eight hundred sixty-four million, three hundred sixty-two thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 127 254 381 433 508 762 866 1143 1299 1524 1732 2286 2598 3897 4572 5196 7794 15588 16129 32258 48387 54991 64516 96774 109982 145161 164973 187489 193548 219964 290322 329946 374978 494919 562467 580644 659892 749956 989838 1124934 1687401 1979676 2249868 3374802 6749604 6983857 13967714 20951571 23811103 27935428 41903142 47622206 62854713 71433309 83806284 95244412 125709426 142866618 214299927 251418852 285733236 428599854 857199708 3024010081 6048020162 9072030243 12096040324 18144060486 27216090729 36288120972 54432181458 108864362916