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13321780992 = 28361317219
BaseRepresentation
bin11000110100000101…
…00011111100000000
31021101102021121000000
430122002203330000
5204240333442432
610041524000000
7651061161432
oct143202437400
937342247000
1013321780992
115716886263
1226b9530000
131343c57760
149053ac652
1552e81457c
hex31a0a3f00

13321780992 has 756 divisors, whose sum is σ = 48010637080. Its totient is φ = 3654844416.

The previous prime is 13321780957. The next prime is 13321780993. The reversal of 13321780992 is 29908712331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13321780993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 701146359 + ... + 701146377.

Almost surely, 213321780992 is an apocalyptic number.

13321780992 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 13321780992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24005318540).

13321780992 is an abundant number, since it is smaller than the sum of its proper divisors (34688856088).

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

13321780992 is an equidigital number, since it uses as much as digits as its factorization.

13321780992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 13321780992 in words is "thirteen billion, three hundred twenty-one million, seven hundred eighty thousand, nine hundred ninety-two".