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13381395232 = 251773336961
BaseRepresentation
bin11000111011001011…
…11110001100100000
31021112120110022100211
430131211332030200
5204401114121412
610051453423504
7652413661042
oct143545761440
937476408324
1013381395232
1157474a3327
12271549ab94
1313533cac5a
1490d289a92
15534b8cca7
hex31d97e320

13381395232 has 48 divisors (see below), whose sum is σ = 28276503192. Its totient is φ = 6210846720.

The previous prime is 13381395229. The next prime is 13381395281. The reversal of 13381395232 is 23259318331.

13381395232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 12339655056 + 1041740176 = 111084^2 + 32276^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128769 + ... + 208192.

Almost surely, 213381395232 is an apocalyptic number.

It is an amenable number.

13381395232 is an abundant number, since it is smaller than the sum of its proper divisors (14895107960).

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

13381395232 is a wasteful number, since it uses less digits than its factorization.

13381395232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337061 (or 337053 counting only the distinct ones).

The product of its digits is 116640, while the sum is 40.

The spelling of 13381395232 in words is "thirteen billion, three hundred eighty-one million, three hundred ninety-five thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 17 32 34 68 73 136 146 272 292 544 584 1168 1241 2336 2482 4964 9928 19856 39712 336961 673922 1347844 2695688 5391376 5728337 10782752 11456674 22913348 24598153 45826696 49196306 91653392 98392612 183306784 196785224 393570448 418168601 787140896 836337202 1672674404 3345348808 6690697616 13381395232