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12298957056 = 2835211937
BaseRepresentation
bin10110111010001001…
…10011000100000000
31011202010122202100000
423131010303010000
5200142013111211
65352225200000
7613531260441
oct133504630400
934663582300
1012298957056
115241493521
122472a90000
1312100889a9
148495dd2c8
154beb25656
hex2dd133100

12298957056 has 216 divisors, whose sum is σ = 36988011424. Its totient is φ = 4075868160.

The previous prime is 12298957031. The next prime is 12298957087. The reversal of 12298957056 is 65075989221.

12298957056 is a `hidden beast` number, since 12 + 2 + 9 + 8 + 9 + 570 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 12298956993 and 12298957011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13125420 + ... + 13126356.

Almost surely, 212298957056 is an apocalyptic number.

12298957056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12298957056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18494005712).

12298957056 is an abundant number, since it is smaller than the sum of its proper divisors (24689054368).

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

12298957056 is an frugal number, since it uses more digits than its factorization.

12298957056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 12298957056 in words is "twelve billion, two hundred ninety-eight million, nine hundred fifty-seven thousand, fifty-six".