Search a number
-
+
13329266688 = 21134194229
BaseRepresentation
bin11000110100111110…
…00111100000000000
31021101221100220110000
430122133013200000
5204244243013223
610042352240000
7651211616553
oct143237074000
937357326400
1013329266688
115720029391
1226bbb40000
131345678a6a
1490639a69a
155302e2543
hex31a7c7800

13329266688 has 240 divisors, whose sum is σ = 41918877000. Its totient is φ = 4208246784.

The previous prime is 13329266681. The next prime is 13329266711. The reversal of 13329266688 is 88666292331.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13329266681) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3149758 + ... + 3153986.

Almost surely, 213329266688 is an apocalyptic number.

13329266688 is a gapful number since it is divisible by the number (18) 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 13329266688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20959438500).

13329266688 is an abundant number, since it is smaller than the sum of its proper divisors (28589610312).

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

13329266688 is an equidigital number, since it uses as much as digits as its factorization.

13329266688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4282 (or 4253 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The spelling of 13329266688 in words is "thirteen billion, three hundred twenty-nine million, two hundred sixty-six thousand, six hundred eighty-eight".