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82383137272769 is a prime number
BaseRepresentation
bin10010101110110101010001…
…101000011111001111000001
3101210200202021111001221111212
4102232311101220133033001
541244231131120212034
6451114142451015505
723231661640526354
oct2256652150371701
9353622244057455
1082383137272769
11242825462a2813
1292a64a1b9a595
1336c79093053c8
14164b517c5c29b
1597ce93c012ce
hex4aed51a1f3c1

82383137272769 has 2 divisors, whose sum is σ = 82383137272770. Its totient is φ = 82383137272768.

The previous prime is 82383137272759. The next prime is 82383137272847. The reversal of 82383137272769 is 96727273138328.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 74062289343025 + 8320847929744 = 8605945^2 + 2884588^2 .

It is a cyclic number.

It is not a de Polignac number, because 82383137272769 - 224 = 82383120495553 is a prime.

It is a super-2 number, since 2×823831372727692 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82383137272699 and 82383137272708.

It is not a weakly prime, because it can be changed into another prime (82383137272759) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41191568636384 + 41191568636385.

It is an arithmetic number, because the mean of its divisors is an integer number (41191568636385).

Almost surely, 282383137272769 is an apocalyptic number.

It is an amenable number.

82383137272769 is a deficient number, since it is larger than the sum of its proper divisors (1).

82383137272769 is an equidigital number, since it uses as much as digits as its factorization.

82383137272769 is an evil number, because the sum of its binary digits is even.

The product of its digits is 256048128, while the sum is 68.

The spelling of 82383137272769 in words is "eighty-two trillion, three hundred eighty-three billion, one hundred thirty-seven million, two hundred seventy-two thousand, seven hundred sixty-nine".