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13199262336 = 273913231
BaseRepresentation
bin11000100101011110…
…01100001010000000
31021001212202000000000
430102233030022000
5204013002343321
610021430000000
7645042610251
oct142257141200
937055660000
1013199262336
115663704177
1226844a6000
13132475b300
148d2dd8b28
15523bb2826
hex312bcc280

13199262336 has 480 divisors, whose sum is σ = 44087598720. Its totient is φ = 3930301440.

The previous prime is 13199262319. The next prime is 13199262347. The reversal of 13199262336 is 63326299131.

13199262336 is a `hidden beast` number, since 1 + 3 + 19 + 9 + 2 + 623 + 3 + 6 = 666.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 13199262291 and 13199262300.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 425782641 + ... + 425782671.

It is an arithmetic number, because the mean of its divisors is an integer number (91849164).

Almost surely, 213199262336 is an apocalyptic number.

13199262336 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 13199262336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22043799360).

13199262336 is an abundant number, since it is smaller than the sum of its proper divisors (30888336384).

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

13199262336 is an frugal number, since it uses more digits than its factorization.

13199262336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 49 counting only the distinct ones).

The product of its digits is 314928, while the sum is 45.

The spelling of 13199262336 in words is "thirteen billion, one hundred ninety-nine million, two hundred sixty-two thousand, three hundred thirty-six".