Search a number
-
+
13985923536 = 2433132238329
BaseRepresentation
bin11010000011010000…
…00100000111010000
31100002200222112022000
431001220010013100
5212120344023121
610231450514000
71003404250164
oct150150040720
940080875260
1013985923536
115a277643a2
122863a35900
13141b720a00
14969690ca4
1556cca2526
hex341a041d0

13985923536 has 240 divisors, whose sum is σ = 45365846400. Its totient is φ = 4115764224.

The previous prime is 13985923531. The next prime is 13985923537. The reversal of 13985923536 is 63532958931.

13985923536 is a `hidden beast` number, since 1 + 3 + 9 + 85 + 9 + 23 + 536 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13985923531) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1675020 + ... + 1683348.

It is an arithmetic number, because the mean of its divisors is an integer number (189024360).

Almost surely, 213985923536 is an apocalyptic number.

13985923536 is a gapful number since it is divisible by the number (16) 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 13985923536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22682923200).

13985923536 is an abundant number, since it is smaller than the sum of its proper divisors (31379922864).

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

13985923536 is a wasteful number, since it uses less digits than its factorization.

13985923536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8395 (or 8370 counting only the distinct ones).

The product of its digits is 5248800, while the sum is 54.

The spelling of 13985923536 in words is "thirteen billion, nine hundred eighty-five million, nine hundred twenty-three thousand, five hundred thirty-six".