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86228725969 is a prime number
BaseRepresentation
bin101000001001110100…
…0011111000011010001
322020120102120010201101
41100103220133003101
52403044023212334
6103340220504401
76141554035351
oct1202350370321
9266512503641
1086228725969
11336299600a1
12148659ab101
138192704c99
1442600c6b61
15239a237214
hex1413a1f0d1

86228725969 has 2 divisors, whose sum is σ = 86228725970. Its totient is φ = 86228725968.

The previous prime is 86228725967. The next prime is 86228725997. The reversal of 86228725969 is 96952782268.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 50256672400 + 35972053569 = 224180^2 + 189663^2 .

It is a cyclic number.

It is not a de Polignac number, because 86228725969 - 21 = 86228725967 is a prime.

It is a super-3 number, since 3×862287259693 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 86228725967, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 86228725969.

It is not a weakly prime, because it can be changed into another prime (86228725967) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 43114362984 + 43114362985.

It is an arithmetic number, because the mean of its divisors is an integer number (43114362985).

Almost surely, 286228725969 is an apocalyptic number.

It is an amenable number.

86228725969 is a deficient number, since it is larger than the sum of its proper divisors (1).

86228725969 is an equidigital number, since it uses as much as digits as its factorization.

86228725969 is an evil number, because the sum of its binary digits is even.

The product of its digits is 52254720, while the sum is 64.

The spelling of 86228725969 in words is "eighty-six billion, two hundred twenty-eight million, seven hundred twenty-five thousand, nine hundred sixty-nine".