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13199155236 = 22322921972213
BaseRepresentation
bin11000100101011101…
…10010000000100100
31021001212112120002100
430102232302000210
5204012440431421
610021423412100
7645041653101
oct142256620044
937055476070
1013199155236
115663640763
122684454030
131324721637
148d2dabaa8
15523b90c26
hex312bb2024

13199155236 has 108 divisors (see below), whose sum is σ = 34745803092. Its totient is φ = 4224530688.

The previous prime is 13199155097. The next prime is 13199155243. The reversal of 13199155236 is 63255199131.

13199155236 is a `hidden beast` number, since 1 + 3 + 1 + 9 + 91 + 552 + 3 + 6 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 5425206336 + 7773948900 = 73656^2 + 88170^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13199155191 and 13199155200.

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 35 ways as a sum of consecutive naturals, for example, 5963266 + ... + 5965478.

It is an arithmetic number, because the mean of its divisors is an integer number (321720399).

Almost surely, 213199155236 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13199155236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17372901546).

13199155236 is an abundant number, since it is smaller than the sum of its proper divisors (21546647856).

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

13199155236 is a wasteful number, since it uses less digits than its factorization.

13199155236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2478 (or 2444 counting only the distinct ones).

The product of its digits is 218700, while the sum is 45.

The spelling of 13199155236 in words is "thirteen billion, one hundred ninety-nine million, one hundred fifty-five thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 197 261 348 394 522 591 788 841 1044 1182 1682 1773 2213 2364 2523 3364 3546 4426 5046 5713 6639 7092 7569 8852 10092 11426 13278 15138 17139 19917 22852 26556 30276 34278 39834 51417 64177 68556 79668 102834 128354 165677 192531 205668 256708 331354 385062 435961 497031 577593 662708 770124 871922 994062 1155186 1307883 1491093 1743844 1861133 1988124 2310372 2615766 2982186 3722266 3923649 5231532 5583399 5964372 7444532 7847298 11166798 12642869 15694596 16750197 22333596 25285738 33500394 37928607 50571476 67000788 75857214 113785821 151714428 227571642 366643201 455143284 733286402 1099929603 1466572804 2199859206 3299788809 4399718412 6599577618 13199155236