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12258330768 = 243297877601
BaseRepresentation
bin10110110101010011…
…10100100010010000
31011122022012201112200
423122221310202100
5200101113041033
65344214323200
7612526043445
oct133251644220
934568181480
1012258330768
115220565382
122461359500
131204833078
148440659cc
154bb29d013
hex2daa74890

12258330768 has 60 divisors (see below), whose sum is σ = 34660013388. Its totient is φ = 4043980800.

The previous prime is 12258330767. The next prime is 12258330797. The reversal of 12258330768 is 86703385221.

12258330768 is a `hidden beast` number, since 1 + 2 + 2 + 583 + 3 + 0 + 7 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2940675984 + 9317654784 = 54228^2 + 96528^2 .

It is not an unprimeable number, because it can be changed into a prime (12258330761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 424833 + ... + 452768.

Almost surely, 212258330768 is an apocalyptic number.

12258330768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12258330768 is an abundant number, since it is smaller than the sum of its proper divisors (22401682620).

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

12258330768 is a wasteful number, since it uses less digits than its factorization.

12258330768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877712 (or 877703 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

It can be divided in two parts, 122583 and 30768, that added together give a palindrome (153351).

The spelling of 12258330768 in words is "twelve billion, two hundred fifty-eight million, three hundred thirty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 97 144 194 291 388 582 776 873 1164 1552 1746 2328 3492 4656 6984 13968 877601 1755202 2632803 3510404 5265606 7020808 7898409 10531212 14041616 15796818 21062424 31593636 42124848 63187272 85127297 126374544 170254594 255381891 340509188 510763782 681018376 766145673 1021527564 1362036752 1532291346 2043055128 3064582692 4086110256 6129165384 12258330768