Search a number
-
+
86290175749 is a prime number
BaseRepresentation
bin101000001011101001…
…0111001011100000101
322020201201012002222011
41100113102321130011
52403210241110444
6103350253534221
76143231251261
oct1202722713405
9266651162864
1086290175749
1133660611238
12148824a4371
1381a236babb
1442683210a1
1523a0824734
hex14174b9705

86290175749 has 2 divisors, whose sum is σ = 86290175750. Its totient is φ = 86290175748.

The previous prime is 86290175731. The next prime is 86290175821. The reversal of 86290175749 is 94757109268.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80846392225 + 5443783524 = 284335^2 + 73782^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-86290175749 is a prime.

It is a super-2 number, since 2×862901757492 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 86290175693 and 86290175702.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (86290145749) 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 as a sum of consecutive naturals, namely, 43145087874 + 43145087875.

It is an arithmetic number, because the mean of its divisors is an integer number (43145087875).

Almost surely, 286290175749 is an apocalyptic number.

It is an amenable number.

86290175749 is a deficient number, since it is larger than the sum of its proper divisors (1).

86290175749 is an equidigital number, since it uses as much as digits as its factorization.

86290175749 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7620480, while the sum is 58.

The spelling of 86290175749 in words is "eighty-six billion, two hundred ninety million, one hundred seventy-five thousand, seven hundred forty-nine".