Search a number
-
+
13551995520 = 273357199563
BaseRepresentation
bin11001001111100001…
…10000101010000000
31021222110110200222000
430213300300222000
5210223302324040
610120430144000
7656555030010
oct144760605200
937873420860
1013551995520
1158248258a8
122762652000
13137c86057b
14927bb7c40
15544b3b130
hex327c30a80

13551995520 has 512 divisors, whose sum is σ = 55226880000. Its totient is φ = 3076558848.

The previous prime is 13551995503. The next prime is 13551995533. The reversal of 13551995520 is 2559915531.

13551995520 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 1 + 99 + 552 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24070759 + ... + 24071321.

It is an arithmetic number, because the mean of its divisors is an integer number (107865000).

Almost surely, 213551995520 is an apocalyptic number.

13551995520 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 13551995520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27613440000).

13551995520 is an abundant number, since it is smaller than the sum of its proper divisors (41674884480).

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

13551995520 is a wasteful number, since it uses less digits than its factorization.

13551995520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 303750, while the sum is 45.

The spelling of 13551995520 in words is "thirteen billion, five hundred fifty-one million, nine hundred ninety-five thousand, five hundred twenty".