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12274846992 = 2432412079073
BaseRepresentation
bin10110110111010001…
…10100110100010000
31011200110021211112200
423123220310310100
5200114330100432
65350004323200
7613116322632
oct133350646420
934613254480
1012274846992
115229916251
1224669a3500
131208096895
14846324a52
154bc961a7c
hex2dba34d10

12274846992 has 60 divisors (see below), whose sum is σ = 35190406524. Its totient is φ = 3991818240.

The previous prime is 12274846967. The next prime is 12274846993. The reversal of 12274846992 is 29964847221.

It is a happy number.

12274846992 is a `hidden beast` number, since 1 + 22 + 74 + 8 + 469 + 92 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 184525056 + 12090321936 = 13584^2 + 109956^2 .

It is a super-2 number, since 2×122748469922 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12274846993) 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, 1033633 + ... + 1045440.

Almost surely, 212274846992 is an apocalyptic number.

12274846992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12274846992 is an abundant number, since it is smaller than the sum of its proper divisors (22915559532).

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

12274846992 is a wasteful number, since it uses less digits than its factorization.

12274846992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2079128 (or 2079119 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 12274846992 in words is "twelve billion, two hundred seventy-four million, eight hundred forty-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 328 369 492 656 738 984 1476 1968 2952 5904 2079073 4158146 6237219 8316292 12474438 16632584 18711657 24948876 33265168 37423314 49897752 74846628 85241993 99795504 149693256 170483986 255725979 299386512 340967972 511451958 681935944 767177937 1022903916 1363871888 1534355874 2045807832 3068711748 4091615664 6137423496 12274846992