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13317485776 = 2472193773331
BaseRepresentation
bin11000110011100100…
…01011010011010000
31021101010012101001221
430121302023103100
5204233234021101
610041251534424
7651006522100
oct143162132320
937333171057
1013317485776
1157144121a1
1226b7bba414
1313430b26ca
149049b1200
1552e266aa1
hex319c8b4d0

13317485776 has 240 divisors, whose sum is σ = 32992858560. Its totient is φ = 5173217280.

The previous prime is 13317485773. The next prime is 13317485777. The reversal of 13317485776 is 67758471331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13317485773) 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, 40233931 + ... + 40234261.

It is an arithmetic number, because the mean of its divisors is an integer number (137470244).

Almost surely, 213317485776 is an apocalyptic number.

13317485776 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 13317485776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16496429280).

13317485776 is an abundant number, since it is smaller than the sum of its proper divisors (19675372784).

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

13317485776 is a wasteful number, since it uses less digits than its factorization.

13317485776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 469 counting only the distinct ones).

The product of its digits is 2963520, while the sum is 52.

The spelling of 13317485776 in words is "thirteen billion, three hundred seventeen million, four hundred eighty-five thousand, seven hundred seventy-six".