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83826973169 is a prime number
BaseRepresentation
bin100111000010001111…
…0100001100111110001
322000101001020110020222
41032010132201213301
52333134201120134
6102302022542425
76025211341532
oct1160436414761
9260331213228
1083826973169
1132607160725
12142b5597a15
137b9bc54594
1440b312c689
1522a9466a2e
hex13847a19f1

83826973169 has 2 divisors, whose sum is σ = 83826973170. Its totient is φ = 83826973168.

The previous prime is 83826973147. The next prime is 83826973171. The reversal of 83826973169 is 96137962838.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68329960000 + 15497013169 = 261400^2 + 124487^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-83826973169 is a prime.

It is a super-2 number, since 2×838269731692 (a number of 23 digits) contains 22 as substring.

Together with 83826973171, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (83826903169) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41913486584 + 41913486585.

It is an arithmetic number, because the mean of its divisors is an integer number (41913486585).

Almost surely, 283826973169 is an apocalyptic number.

It is an amenable number.

83826973169 is a deficient number, since it is larger than the sum of its proper divisors (1).

83826973169 is an equidigital number, since it uses as much as digits as its factorization.

83826973169 is an evil number, because the sum of its binary digits is even.

The product of its digits is 23514624, while the sum is 62.

The spelling of 83826973169 in words is "eighty-three billion, eight hundred twenty-six million, nine hundred seventy-three thousand, one hundred sixty-nine".