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7768612051729 = 832335812
BaseRepresentation
bin111000100001100010101…
…0111001001101100010001
31000111200010221010201220021
41301003011113021230101
52004240104141123404
624304503501143441
71431156306624034
oct161030527115421
930450127121807
107768612051729
112525716a80a21
12a5573855ab81
134447667c0b39
141cc007a9b01b
15d712d103454
hex710c55c9b11

7768612051729 has 9 divisors (see below), whose sum is σ = 7863571638139. Its totient is φ = 7674785763880.

The previous prime is 7768612051679. The next prime is 7768612051769. The reversal of 7768612051729 is 9271502168677.

The square root of 7768612051729 is 2787223.

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., 37431801729 + 7731180250000 = 193473^2 + 2780500^2 .

It is not a de Polignac number, because 7768612051729 - 213 = 7768612043537 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7768612051769) 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, 231322719 + ... + 231356299.

Almost surely, 27768612051729 is an apocalyptic number.

7768612051729 is the 2787223-rd square number.

7768612051729 is the 1393612-nd centered octagonal number.

It is an amenable number.

7768612051729 is a deficient number, since it is larger than the sum of its proper divisors (94959586410).

7768612051729 is an frugal number, since it uses more digits than its factorization.

7768612051729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67328 (or 33664 counting only the distinct ones).

The product of its (nonzero) digits is 17781120, while the sum is 61.

The spelling of 7768612051729 in words is "seven trillion, seven hundred sixty-eight billion, six hundred twelve million, fifty-one thousand, seven hundred twenty-nine".

Divisors: 1 83 6889 33581 2787223 231339509 1127683561 93597735563 7768612051729