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13589470080 = 2732510692207
BaseRepresentation
bin11001010011111111…
…01101101110000000
31022002001222121101200
430221333231232000
5210312401020310
610124245301200
7660521406204
oct145177555600
938061877350
1013589470080
1158439a100a
122773104800
131387551774
1492cb70b04
1554808e9c0
hex329fedb80

13589470080 has 192 divisors, whose sum is σ = 46991318400. Its totient is φ = 3618828288.

The previous prime is 13589470039. The next prime is 13589470087. The reversal of 13589470080 is 8007498531.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13589470087) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6156337 + ... + 6158543.

It is an arithmetic number, because the mean of its divisors is an integer number (244746450).

Almost surely, 213589470080 is an apocalyptic number.

13589470080 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 13589470080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23495659200).

13589470080 is an abundant number, since it is smaller than the sum of its proper divisors (33401848320).

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

13589470080 is a wasteful number, since it uses less digits than its factorization.

13589470080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3301 (or 3286 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 13589470080 in words is "thirteen billion, five hundred eighty-nine million, four hundred seventy thousand, eighty".