Search a number
-
+
13093470720 = 2933511171013
BaseRepresentation
bin11000011000110111…
…01000001000000000
31020210111200020012000
430030123220020000
5203303412030340
610003130304000
7642316444011
oct141433501000
936714606160
1013093470720
115609a17390
122654b88000
13130886a615
148c2d3b008
15519766d30
hex30c6e8200

13093470720 has 640 divisors, whose sum is σ = 53774772480. Its totient is φ = 2984509440.

The previous prime is 13093470707. The next prime is 13093470743. The reversal of 13093470720 is 2707439031.

13093470720 is a `hidden beast` number, since 1 + 30 + 93 + 470 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 12924934 + ... + 12925946.

It is an arithmetic number, because the mean of its divisors is an integer number (84023082).

Almost surely, 213093470720 is an apocalyptic number.

13093470720 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 13093470720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26887386240).

13093470720 is an abundant number, since it is smaller than the sum of its proper divisors (40681301760).

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

13093470720 is a wasteful number, since it uses less digits than its factorization.

13093470720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The spelling of 13093470720 in words is "thirteen billion, ninety-three million, four hundred seventy thousand, seven hundred twenty".