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12258032656 = 248923112
BaseRepresentation
bin10110110101010001…
…01011110000010000
31011122021122120121111
423122220223300100
5200101024021111
65344204103104
7612523362352
oct133250536020
934567576544
1012258032656
115220381401
122461234a94
13120475a47c
14843dc90d2
154bb23ea21
hex2daa2bc10

12258032656 has 45 divisors (see below), whose sum is σ = 24097272253. Its totient is φ = 6040664960.

The previous prime is 12258032653. The next prime is 12258032663. The reversal of 12258032656 is 65623085221.

It is a happy number.

The square root of 12258032656 is 110716.

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., 2353802256 + 9904230400 = 48516^2 + 99520^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12258032651) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 39414741 + ... + 39415051.

Almost surely, 212258032656 is an apocalyptic number.

12258032656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12258032656 is the 110716-th square number.

It is an amenable number.

12258032656 is a deficient number, since it is larger than the sum of its proper divisors (11839239597).

12258032656 is an frugal number, since it uses more digits than its factorization.

12258032656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

It can be divided in two parts, 122580 and 32656, that added together give a square (155236 = 3942).

The spelling of 12258032656 in words is "twelve billion, two hundred fifty-eight million, thirty-two thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 89 178 311 356 622 712 1244 1424 2488 4976 7921 15842 27679 31684 55358 63368 96721 110716 126736 193442 221432 386884 442864 773768 1547536 2463431 4926862 8608169 9853724 17216338 19707448 34432676 39414896 68865352 137730704 766127041 1532254082 3064508164 6129016328 12258032656