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12845974680 = 23345711231151
BaseRepresentation
bin10111111011010111…
…00000010010011000
31020011020222010110000
423331223200102120
5202302032142210
65522405453000
7633222661140
oct137553402230
936136863400
1012845974680
1154a2243a00
1225a6111160
1312994c3866
1489c113920
15502b79ac0
hex2fdae0498

12845974680 has 960 divisors, whose sum is σ = 56358973440. Its totient is φ = 2566080000.

The previous prime is 12845974667. The next prime is 12845974699. The reversal of 12845974680 is 8647954821.

It is a happy number.

12845974680 is a `hidden beast` number, since 1 + 2 + 8 + 4 + 597 + 46 + 8 + 0 = 666.

12845974680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×128459746802 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 85072605 + ... + 85072755.

It is an arithmetic number, because the mean of its divisors is an integer number (58707264).

Almost surely, 212845974680 is an apocalyptic number.

12845974680 is a gapful number since it is divisible by the number (10) 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 12845974680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28179486720).

12845974680 is an abundant number, since it is smaller than the sum of its proper divisors (43512998760).

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

12845974680 is a wasteful number, since it uses less digits than its factorization.

12845974680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 12845974680 in words is "twelve billion, eight hundred forty-five million, nine hundred seventy-four thousand, six hundred eighty".