Search a number
-
+
13296337920 = 21035510687
BaseRepresentation
bin11000110001000011…
…00000010000000000
31021022122101221200000
430120201200100000
5204212330303140
610035214400000
7650332002405
oct143041402000
937278357600
1013296337920
115703488528
1226b0b00000
13133b8b9998
14901c682ac
1552c48aa30
hex318860400

13296337920 has 264 divisors, whose sum is σ = 47782285824. Its totient is φ = 3545358336.

The previous prime is 13296337913. The next prime is 13296337961. The reversal of 13296337920 is 2973369231.

13296337920 is a `hidden beast` number, since 1 + 3 + 2 + 9 + 633 + 7 + 9 + 2 + 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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1238817 + ... + 1249503.

Almost surely, 213296337920 is an apocalyptic number.

13296337920 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 13296337920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23891142912).

13296337920 is an abundant number, since it is smaller than the sum of its proper divisors (34485947904).

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

13296337920 is an equidigital number, since it uses as much as digits as its factorization.

13296337920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10727 (or 10697 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 45.

The spelling of 13296337920 in words is "thirteen billion, two hundred ninety-six million, three hundred thirty-seven thousand, nine hundred twenty".