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13327147008 = 21332731731
BaseRepresentation
bin11000110100101110…
…00010000000000000
31021101210101012210100
430122113002000000
5204243222201013
610042235002400
7651154611000
oct143227020000
937353335710
1013327147008
11571991088a
1226bb299400
1313450b6006
14905da8000
15530024473
hex31a5c2000

13327147008 has 672 divisors, whose sum is σ = 49070361600. Its totient is φ = 3468165120.

The previous prime is 13327147007. The next prime is 13327147013. The reversal of 13327147008 is 80074172331.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×133271470082 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (13327147007) 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, 429907953 + ... + 429907983.

Almost surely, 213327147008 is an apocalyptic number.

13327147008 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 13327147008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24535180800).

13327147008 is an abundant number, since it is smaller than the sum of its proper divisors (35743214592).

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

13327147008 is an equidigital number, since it uses as much as digits as its factorization.

13327147008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 13327147008 in words is "thirteen billion, three hundred twenty-seven million, one hundred forty-seven thousand, eight".