Search a number
-
+
13293775872 = 21032131761107
BaseRepresentation
bin11000110000101111…
…01110110000000000
31021022110120210012100
430120113232300000
5204211201311442
610035043430400
7650301142026
oct143027566000
937273523170
1013293775872
115701a98633
1226b0085400
13133b200790
1490179c716
1552c13184c
hex3185eec00

13293775872 has 528 divisors, whose sum is σ = 44903188512. Its totient is φ = 3751280640.

The previous prime is 13293775861. The next prime is 13293775877. The reversal of 13293775872 is 27857739231.

13293775872 is a `hidden beast` number, since 1 + 3 + 29 + 37 + 7 + 587 + 2 = 666.

Its product of digits (4445280) is a multiple of the sum of its prime factors (224).

It is not an unprimeable number, because it can be changed into a prime (13293775877) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124240843 + ... + 124240949.

Almost surely, 213293775872 is an apocalyptic number.

13293775872 is a gapful number since it is divisible by the number (12) 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 13293775872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22451594256).

13293775872 is an abundant number, since it is smaller than the sum of its proper divisors (31609412640).

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

13293775872 is a wasteful number, since it uses less digits than its factorization.

13293775872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 203 counting only the distinct ones).

The product of its digits is 4445280, while the sum is 54.

The spelling of 13293775872 in words is "thirteen billion, two hundred ninety-three million, seven hundred seventy-five thousand, eight hundred seventy-two".