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12287484672 = 283172232983
BaseRepresentation
bin10110111000110010…
…00010001100000000
31011201100001220011220
423130121002030000
5200131044002142
65351135235040
7613331616321
oct133431021400
934640056156
1012287484672
115235a68111
12246b078a80
13120a89cbb8
14847c94448
154bdb0b2ec
hex2dc642300

12287484672 has 432 divisors, whose sum is σ = 37951683840. Its totient is φ = 3517251584.

The previous prime is 12287484637. The next prime is 12287484691. The reversal of 12287484672 is 27648478221.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 148041943 + ... + 148042025.

It is an arithmetic number, because the mean of its divisors is an integer number (87851120).

Almost surely, 212287484672 is an apocalyptic number.

12287484672 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 12287484672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18975841920).

12287484672 is an abundant number, since it is smaller than the sum of its proper divisors (25664199168).

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

12287484672 is a wasteful number, since it uses less digits than its factorization.

12287484672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 157 counting only the distinct ones).

The product of its digits is 2408448, while the sum is 51.

The spelling of 12287484672 in words is "twelve billion, two hundred eighty-seven million, four hundred eighty-four thousand, six hundred seventy-two".