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12866973504 = 2637211289127
BaseRepresentation
bin10111111101110111…
…00110111101000000
31020012201110222102020
423332323212331000
5202322421123004
65524435521440
7633566320200
oct137673467500
936181428366
1012866973504
115503086700
1225b1159280
1312a09667b8
148a0c1c400
155049268d9
hex2feee6f40

12866973504 has 504 divisors, whose sum is σ = 44365224960. Its totient is φ = 3278499840.

The previous prime is 12866973499. The next prime is 12866973563. The reversal of 12866973504 is 40537966821.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 101314689 + ... + 101314815.

It is an arithmetic number, because the mean of its divisors is an integer number (88026240).

It is a 1-persistent number, because it is pandigital, but 2⋅12866973504 = 25733947008 is not.

Almost surely, 212866973504 is an apocalyptic number.

12866973504 is a gapful number since it is divisible by the number (14) 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 12866973504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22182612480).

12866973504 is an abundant number, since it is smaller than the sum of its proper divisors (31498251456).

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

12866973504 is a wasteful number, since it uses less digits than its factorization.

12866973504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 12866973504 in words is "twelve billion, eight hundred sixty-six million, nine hundred seventy-three thousand, five hundred four".