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12234787965 = 34537816469
BaseRepresentation
bin10110110010100000…
…00000110001111101
31011120122220121220000
423121100000301331
5200024101203330
65342013544513
7612121660521
oct133120006175
934518817800
1012234787965
115209245314
1224554a5139
1311cc9ac20a
14840c97d81
154b919c560
hex2d9400c7d

12234787965 has 40 divisors (see below), whose sum is σ = 22524774360. Its totient is φ = 6348855168.

The previous prime is 12234787937. The next prime is 12234787973. The reversal of 12234787965 is 56978743221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 451902564 + 11782885401 = 21258^2 + 108549^2 .

It is not a de Polignac number, because 12234787965 - 225 = 12201233533 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 393250 + ... + 423219.

It is an arithmetic number, because the mean of its divisors is an integer number (563119359).

Almost surely, 212234787965 is an apocalyptic number.

12234787965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12234787965 is a deficient number, since it is larger than the sum of its proper divisors (10289986395).

12234787965 is an equidigital number, since it uses as much as digits as its factorization.

12234787965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816523 (or 816514 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 12234787965 in words is "twelve billion, two hundred thirty-four million, seven hundred eighty-seven thousand, nine hundred sixty-five".

Divisors: 1 3 5 9 15 27 37 45 81 111 135 185 333 405 555 999 1665 2997 4995 14985 816469 2449407 4082345 7348221 12247035 22044663 30209353 36741105 66133989 90628059 110223315 151046765 271884177 330669945 453140295 815652531 1359420885 2446957593 4078262655 12234787965