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13059969000 = 23353132571303
BaseRepresentation
bin11000010100110111…
…10100111111101000
31020201011122011110120
430022123310333220
5203221323002000
65555532243240
7641431622241
oct141233647750
936634564416
1013059969000
1155a2015011
122645910520
13130193a810
148bc6d9cc8
1551684a6a0
hex30a6f4fe8

13059969000 has 256 divisors, whose sum is σ = 44086049280. Its totient is φ = 3199795200.

The previous prime is 13059968993. The next prime is 13059969001. The reversal of 13059969000 is 96995031.

It is a super-2 number, since 2×130599690002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13059969001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10022349 + ... + 10023651.

It is an arithmetic number, because the mean of its divisors is an integer number (172211130).

Almost surely, 213059969000 is an apocalyptic number.

13059969000 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 13059969000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22043024640).

13059969000 is an abundant number, since it is smaller than the sum of its proper divisors (31026080280).

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

13059969000 is a wasteful number, since it uses less digits than its factorization.

13059969000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1597 (or 1583 counting only the distinct ones).

The product of its (nonzero) digits is 65610, while the sum is 42.

The spelling of 13059969000 in words is "thirteen billion, fifty-nine million, nine hundred sixty-nine thousand".