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12496333369 = 13285992
BaseRepresentation
bin10111010001101011…
…01110101000111001
31012020220001111201211
423220311232220321
5201043030131434
65423555443121
7621446036542
oct135065565071
935226044654
1012496333369
115332944243
122508bb64a1
131241c34a00
148678db4c9
154d2112464
hex2e8d6ea39

12496333369 has 9 divisors (see below), whose sum is σ = 13533106383. Its totient is φ = 11533735512.

The previous prime is 12496333349. The next prime is 12496333387. The reversal of 12496333369 is 96333369421.

It is a happy number.

The square root of 12496333369 is 111787.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1848570025 + 10647763344 = 42995^2 + 103188^2 .

It is not a de Polignac number, because 12496333369 - 229 = 11959462457 is a prime.

It is a super-2 number, since 2×124963333692 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12496333349) 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 8 ways as a sum of consecutive naturals, for example, 1448932 + ... + 1457530.

It is an arithmetic number, because the mean of its divisors is an integer number (1503678487).

Almost surely, 212496333369 is an apocalyptic number.

12496333369 is the 111787-th square number.

12496333369 is the 55894-th centered octagonal number.

It is an amenable number.

12496333369 is a deficient number, since it is larger than the sum of its proper divisors (1036773014).

12496333369 is an frugal number, since it uses more digits than its factorization.

12496333369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17224 (or 8612 counting only the distinct ones).

The product of its digits is 1889568, while the sum is 49.

Multiplying 12496333369 by its sum of digits (49), we get a square (612320335081 = 7825092).

The spelling of 12496333369 in words is "twelve billion, four hundred ninety-six million, three hundred thirty-three thousand, three hundred sixty-nine".

Divisors: 1 13 169 8599 111787 1453231 73942801 961256413 12496333369