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12921094872 = 233273159107131
BaseRepresentation
bin11000000100010100…
…00100001011011000
31020100111022121222100
430002022010023120
5202430300013442
65534051523400
7635124331350
oct140212041330
936314277870
1012921094872
115530691904
1226072b9560
1312abc35a8a
148a80a9b60
1550956784c
hex3022842d8

12921094872 has 384 divisors, whose sum is σ = 42699571200. Its totient is φ = 3452716800.

The previous prime is 12921094867. The next prime is 12921094873. The reversal of 12921094872 is 27849012921.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12921094873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 98634247 + ... + 98634377.

It is an arithmetic number, because the mean of its divisors is an integer number (111196800).

Almost surely, 212921094872 is an apocalyptic number.

12921094872 is a gapful number since it is divisible by the number (12) 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 12921094872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21349785600).

12921094872 is an abundant number, since it is smaller than the sum of its proper divisors (29778476328).

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

12921094872 is a wasteful number, since it uses less digits than its factorization.

12921094872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 12921094872 in words is "twelve billion, nine hundred twenty-one million, ninety-four thousand, eight hundred seventy-two".