Search a number
-
+
13299572736 = 2133617131
BaseRepresentation
bin11000110001011011…
…10110000000000000
31021022212111022000000
430120231312000000
5204214142311421
610035412000000
7650401334352
oct143055660000
937285438000
1013299572736
11570529792a
1226b2000000
13133c480188
1490246b0d2
1552c8c9226
hex318b76000

13299572736 has 392 divisors, whose sum is σ = 42546126744. Its totient is φ = 4140564480.

The previous prime is 13299572729. The next prime is 13299572807. The reversal of 13299572736 is 63727599231.

13299572736 is a `hidden beast` number, since 1 + 32 + 9 + 9 + 572 + 7 + 36 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 101523391 + ... + 101523521.

Almost surely, 213299572736 is an apocalyptic number.

13299572736 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 13299572736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21273063372).

13299572736 is an abundant number, since it is smaller than the sum of its proper divisors (29246554008).

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

13299572736 is an frugal number, since it uses more digits than its factorization.

13299572736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 153 counting only the distinct ones).

The product of its digits is 4286520, while the sum is 54.

The spelling of 13299572736 in words is "thirteen billion, two hundred ninety-nine million, five hundred seventy-two thousand, seven hundred thirty-six".