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12372780289 = 41227132
BaseRepresentation
bin10111000010111100…
…11010010100000001
31011221021120100202211
423201132122110001
5200314412432124
65403423342121
7615415616512
oct134136322401
934837510684
1012372780289
11527a125a61
122493751941
13122246578c
14855338a09
154c6358e94
hex2e179a501

12372780289 has 9 divisors (see below), whose sum is σ = 12686592009. Its totient is φ = 12066555840.

The previous prime is 12372780283. The next prime is 12372780323. The reversal of 12372780289 is 98208727321.

It is a happy number.

The square root of 12372780289 is 111233.

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

It can be written as a sum of positive squares in 4 ways, for example, as 138650625 + 12234129664 = 11775^2 + 110608^2 .

It is not a de Polignac number, because 12372780289 - 29 = 12372779777 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12372780283) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4559197 + ... + 4561909.

Almost surely, 212372780289 is an apocalyptic number.

12372780289 is the 111233-rd square number.

12372780289 is the 55617-th centered octagonal number.

It is an amenable number.

12372780289 is a deficient number, since it is larger than the sum of its proper divisors (313811720).

12372780289 is an frugal number, since it uses more digits than its factorization.

12372780289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5508 (or 2754 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 49.

Multiplying 12372780289 by its sum of digits (49), we get a square (606266234161 = 7786312).

The spelling of 12372780289 in words is "twelve billion, three hundred seventy-two million, seven hundred eighty thousand, two hundred eighty-nine".

Divisors: 1 41 1681 2713 111233 4560553 7360369 301775129 12372780289