Search a number
-
+
12930646369 = 17266892
BaseRepresentation
bin11000000101011101…
…00000000101100001
31020101011021220011111
430002232200011201
5202440221140434
65535032343321
7635301452314
oct140256400541
936334256144
1012930646369
115536016003
12260a544b41
1312b0bcb454
148a947497b
1550a302964
hex302ba0161

12930646369 has 9 divisors (see below), whose sum is σ = 13738069177. Its totient is φ = 12168200704.

The previous prime is 12930646361. The next prime is 12930646459. The reversal of 12930646369 is 96364603921.

The square root of 12930646369 is 113713.

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 4886709025 + 8043937344 = 69905^2 + 89688^2 .

It is not a de Polignac number, because 12930646369 - 23 = 12930646361 is a prime.

It is a super-2 number, since 2×129306463692 (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 (12930646361) 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, 1929777 + ... + 1936465.

Almost surely, 212930646369 is an apocalyptic number.

12930646369 is the 113713-rd square number.

12930646369 is the 56857-th centered octagonal number.

It is an amenable number.

12930646369 is a deficient number, since it is larger than the sum of its proper divisors (807422808).

12930646369 is an frugal number, since it uses more digits than its factorization.

12930646369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13412 (or 6706 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 49.

Multiplying 12930646369 by its sum of digits (49), we get a square (633601672081 = 7959912).

The spelling of 12930646369 in words is "twelve billion, nine hundred thirty million, six hundred forty-six thousand, three hundred sixty-nine".

Divisors: 1 17 289 6689 113713 1933121 44742721 760626257 12930646369