Search a number
-
+
67409294689 = 112236032
BaseRepresentation
bin111110110001111010…
…000011010101100001
320102222212110222022001
4332301322003111201
52101023234412224
650544543044001
74604315356642
oct766172032541
9212885428261
1067409294689
1126651875900
12110932a0601
1364837aa229
1433969136c9
151b47e69544
hexfb1e83561

67409294689 has 9 divisors (see below), whose sum is σ = 74097653329. Its totient is φ = 61278580660.

The previous prime is 67409294681. The next prime is 67409294707. The reversal of 67409294689 is 98649290476.

It is a happy number.

The square root of 67409294689 is 259633.

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

It is not a de Polignac number, because 67409294689 - 23 = 67409294681 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 67409294689.

It is not an unprimeable number, because it can be changed into a prime (67409294681) 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, 2844162 + ... + 2867764.

Almost surely, 267409294689 is an apocalyptic number.

67409294689 is the 259633-rd square number.

67409294689 is the 129817-th centered octagonal number.

It is an amenable number.

67409294689 is a deficient number, since it is larger than the sum of its proper divisors (6688358640).

67409294689 is an frugal number, since it uses more digits than its factorization.

67409294689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47228 (or 23614 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 64.

Multiplying 67409294689 by its sum of digits (64), we get a square (4314194860096 = 20770642).

The spelling of 67409294689 in words is "sixty-seven billion, four hundred nine million, two hundred ninety-four thousand, six hundred eighty-nine".

Divisors: 1 11 121 23603 259633 2855963 557101609 6128117699 67409294689