Search a number
-
+
13762339969 = 72167592
BaseRepresentation
bin11001101000100110…
…01010010010000001
31022112010021022022011
430310103022102001
5211141124334334
610153342412521
7665020650100
oct146423122201
938463238264
1013762339969
115922533794
122800b91141
1313b42ca141
14947ad0037
1555833a564
hex3344ca481

13762339969 has 9 divisors (see below), whose sum is σ = 16010207937. Its totient is φ = 11795587524.

The previous prime is 13762339957. The next prime is 13762339993. The reversal of 13762339969 is 96993326731.

The square root of 13762339969 is 117313.

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

It is not a de Polignac number, because 13762339969 - 221 = 13760242817 is a prime.

It is a super-2 number, since 2×137623399692 (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 (13762339949) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 812812 + ... + 829570.

It is an arithmetic number, because the mean of its divisors is an integer number (1778911993).

Almost surely, 213762339969 is an apocalyptic number.

13762339969 is the 117313-rd square number.

13762339969 is the 58657-th centered octagonal number.

It is an amenable number.

13762339969 is a deficient number, since it is larger than the sum of its proper divisors (2247867968).

13762339969 is an frugal number, since it uses more digits than its factorization.

13762339969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33532 (or 16766 counting only the distinct ones).

The product of its digits is 9920232, while the sum is 58.

The spelling of 13762339969 in words is "thirteen billion, seven hundred sixty-two million, three hundred thirty-nine thousand, nine hundred sixty-nine".

Divisors: 1 7 49 16759 117313 821191 280864081 1966048567 13762339969