Search a number
-
+
13366033920 = 293253715679
BaseRepresentation
bin11000111001010110…
…10111111000000000
31021111111112212121100
430130223113320000
5204333201041140
610050144254400
7652136261631
oct143453277000
937444485540
1013366033920
115739861128
122710311400
131350180015
1490b20b888
15533656530
hex31cad7e00

13366033920 has 240 divisors, whose sum is σ = 47544456960. Its totient is φ = 3467722752.

The previous prime is 13366033897. The next prime is 13366033951. The reversal of 13366033920 is 2933066331.

13366033920 is a `hidden beast` number, since 13 + 3 + 6 + 603 + 39 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 844641 + ... + 860319.

It is an arithmetic number, because the mean of its divisors is an integer number (198101904).

Almost surely, 213366033920 is an apocalyptic number.

13366033920 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 13366033920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23772228480).

13366033920 is an abundant number, since it is smaller than the sum of its proper divisors (34178423040).

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

13366033920 is a wasteful number, since it uses less digits than its factorization.

13366033920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15745 (or 15726 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 36.

The spelling of 13366033920 in words is "thirteen billion, three hundred sixty-six million, thirty-three thousand, nine hundred twenty".