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659241691969 = 7217268232
BaseRepresentation
bin10011001011111011101…
…11011110101101000001
32100000121200112211011211
421211331313132231001
541300111333120334
61222503525210121
765425423632100
oct11457567365501
92300550484154
10659241691969
11234645826603
12a7922860941
134a221271503
1423c9c142037
1512235c31a64
hex997dddeb41

659241691969 has 27 divisors (see below), whose sum is σ = 814756117347. Its totient is φ = 531747284544.

The previous prime is 659241691943. The next prime is 659241691981. The reversal of 659241691969 is 969196142956.

The square root of 659241691969 is 811937.

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., 513250452225 + 145991239744 = 716415^2 + 382088^2 .

It is not a de Polignac number, because 659241691969 - 27 = 659241691841 is a prime.

It is a super-2 number, since 2×6592416919692 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (659241691169) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 96617092 + ... + 96623914.

Almost surely, 2659241691969 is an apocalyptic number.

659241691969 is the 811937-th square number.

659241691969 is the 405969-th centered octagonal number.

It is an amenable number.

659241691969 is a deficient number, since it is larger than the sum of its proper divisors (155514425378).

659241691969 is an frugal number, since it uses more digits than its factorization.

659241691969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13694 (or 6847 counting only the distinct ones).

The product of its digits is 56687040, while the sum is 67.

The spelling of 659241691969 in words is "six hundred fifty-nine billion, two hundred forty-one million, six hundred ninety-one thousand, nine hundred sixty-nine".

Divisors: 1 7 17 49 119 289 833 2023 6823 14161 47761 115991 334327 811937 1971847 5683559 13802929 46553329 96620503 325873303 791406593 2281113121 5539846151 13453912081 38778923057 94177384567 659241691969