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5223679641 = 321734141697
BaseRepresentation
bin1001101110101101…
…10000011010011001
3111111001021102100100
410313112300122121
541144230222031
62222201330013
7243306354465
oct46726603231
914431242310
105223679641
1122406a3914
121019496909
136532b70cb
14377a894a5
152088dbde6
hex1375b0699

5223679641 has 12 divisors (see below), whose sum is σ = 7989157332. Its totient is φ = 3277602816.

The previous prime is 5223679613. The next prime is 5223679651. The reversal of 5223679641 is 1469763225.

5223679641 is a `hidden beast` number, since 522 + 3 + 67 + 9 + 64 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4382969616 + 840710025 = 66204^2 + 28995^2 .

It is not a de Polignac number, because 5223679641 - 26 = 5223679577 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (5223679651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17070696 + ... + 17071001.

It is an arithmetic number, because the mean of its divisors is an integer number (665763111).

Almost surely, 25223679641 is an apocalyptic number.

5223679641 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

5223679641 is a deficient number, since it is larger than the sum of its proper divisors (2765477691).

5223679641 is a wasteful number, since it uses less digits than its factorization.

5223679641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34141720 (or 34141717 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 5223679641 is about 72275.0277827688. The cubic root of 5223679641 is about 1735.1040021592.

The spelling of 5223679641 in words is "five billion, two hundred twenty-three million, six hundred seventy-nine thousand, six hundred forty-one".

Divisors: 1 3 9 17 51 153 34141697 102425091 307275273 580408849 1741226547 5223679641