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13069699200 = 2732523114639
BaseRepresentation
bin11000010110000001…
…11100100010000000
31020201211221111210100
430023000330202000
5203231320333300
610000521002400
7641610416205
oct141300744200
936654844710
1013069699200
1155a75604a8
122649023400
13130396662c
148bdb0dcac
1551761d700
hex30b03c880

13069699200 has 288 divisors, whose sum is σ = 48143347200. Its totient is φ = 3372595200.

The previous prime is 13069699171. The next prime is 13069699219. The reversal of 13069699200 is 299696031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 885481 + ... + 900119.

It is an arithmetic number, because the mean of its divisors is an integer number (167164400).

Almost surely, 213069699200 is an apocalyptic number.

13069699200 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 13069699200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24071673600).

13069699200 is an abundant number, since it is smaller than the sum of its proper divisors (35073648000).

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

13069699200 is a wasteful number, since it uses less digits than its factorization.

13069699200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14700 (or 14680 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The spelling of 13069699200 in words is "thirteen billion, sixty-nine million, six hundred ninety-nine thousand, two hundred".