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67271240689 = 43325992
BaseRepresentation
bin111110101001101011…
…011010101111110001
320102122020201002210221
4332221223122233301
52100232414200224
650523132053041
74601021053102
oct765153325761
9212566632727
1067271240689
1126590952894
1211055004181
136461001883
1433824583a9
151b3ac996e4
hexfa9adabf1

67271240689 has 9 divisors (see below), whose sum is σ = 67539714123. Its totient is φ = 67003833312.

The previous prime is 67271240683. The next prime is 67271240731. The reversal of 67271240689 is 98604217276.

The square root of 67271240689 is 259367.

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., 7543791025 + 59727449664 = 86855^2 + 244392^2 .

It is not a de Polignac number, because 67271240689 - 223 = 67262852081 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (67271240683) 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 8 ways as a sum of consecutive naturals, for example, 112305612 + ... + 112306210.

Almost surely, 267271240689 is an apocalyptic number.

67271240689 is the 259367-th square number.

67271240689 is the 129684-th centered octagonal number.

It is an amenable number.

67271240689 is a deficient number, since it is larger than the sum of its proper divisors (268473434).

67271240689 is an frugal number, since it uses more digits than its factorization.

67271240689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2064 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 52.

The spelling of 67271240689 in words is "sixty-seven billion, two hundred seventy-one million, two hundred forty thousand, six hundred eighty-nine".

Divisors: 1 433 599 187489 259367 358801 112305911 155360833 67271240689