Search a number
-
+
767321688961 = 8759692
BaseRepresentation
bin10110010101001111110…
…11111100101110000001
32201100120222010112120101
423022213323330232001
5100032433323021321
61344300330442401
7106302642512122
oct13124773745601
92640528115511
10767321688961
112764680a8a73
12104866593401
1357486a52c59
14291d2332049
1514e5e4b9791
hexb2a7efcb81

767321688961 has 3 divisors (see below), whose sum is σ = 767322564931. Its totient is φ = 767320812992.

The previous prime is 767321688937. The next prime is 767321688977. The reversal of 767321688961 is 169886123767.

The square root of 767321688961 is 875969.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 133896714561 + 633424974400 = 365919^2 + 795880^2 .

It is not a de Polignac number, because 767321688961 - 215 = 767321656193 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 767321688893 and 767321688902.

It is not an unprimeable number, because it can be changed into a prime (767321188961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 437985 + ... + 1313953.

Almost surely, 2767321688961 is an apocalyptic number.

767321688961 is the 875969-th square number.

767321688961 is the 437985-th centered octagonal number.

It is an amenable number.

767321688961 is a deficient number, since it is larger than the sum of its proper divisors (875970).

767321688961 is an frugal number, since it uses more digits than its factorization.

767321688961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1751938 (or 875969 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 64.

Multiplying 767321688961 by its sum of digits (64), we get a square (49108588093504 = 70077522).

The spelling of 767321688961 in words is "seven hundred sixty-seven billion, three hundred twenty-one million, six hundred eighty-eight thousand, nine hundred sixty-one".

Divisors: 1 875969 767321688961