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13126860000 = 2535543773
BaseRepresentation
bin11000011100110101…
…11111110011100000
31020212211111120200000
430032122333303200
5203340434010000
610010322100000
7643203316602
oct141632776340
936784446600
1013126860000
115626852231
1226641aa600
13131275b1a7
148c754d172
1551c660000
hex30e6bfce0

13126860000 has 720 divisors, whose sum is σ = 50362616304. Its totient is φ = 3359232000.

The previous prime is 13126859987. The next prime is 13126860023. The reversal of 13126860000 is 6862131.

13126860000 is a `hidden beast` number, since 1 + 31 + 26 + 8 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 179819964 + ... + 179820036.

Almost surely, 213126860000 is an apocalyptic number.

13126860000 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 13126860000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25181308152).

13126860000 is an abundant number, since it is smaller than the sum of its proper divisors (37235756304).

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

13126860000 is an frugal number, since it uses more digits than its factorization.

13126860000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 13126860000 in words is "thirteen billion, one hundred twenty-six million, eight hundred sixty thousand".