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13313369160 = 233257131973293
BaseRepresentation
bin11000110011000100…
…11110010001001000
31021100211110020010200
430121202132101020
5204231210303120
610041023412200
7650626525230
oct143142362110
937324406120
1013313369160
115712060333
1226b6754060
1313422a0a40
1490421ccc0
1552dc01e90
hex31989e448

13313369160 has 768 divisors, whose sum is σ = 57018124800. Its totient is φ = 2615721984.

The previous prime is 13313369159. The next prime is 13313369183. The reversal of 13313369160 is 6196331331.

It is a happy number.

13313369160 is a `hidden beast` number, since 133 + 1 + 3 + 369 + 160 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 45437974 + ... + 45438266.

It is an arithmetic number, because the mean of its divisors is an integer number (74242350).

Almost surely, 213313369160 is an apocalyptic number.

13313369160 is a gapful number since it is divisible by the number (10) 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 13313369160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28509062400).

13313369160 is an abundant number, since it is smaller than the sum of its proper divisors (43704755640).

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

13313369160 is a wasteful number, since it uses less digits than its factorization.

13313369160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The spelling of 13313369160 in words is "thirteen billion, three hundred thirteen million, three hundred sixty-nine thousand, one hundred sixty".