Search a number
-
+
86425781249 = 2379211225427
BaseRepresentation
bin101000001111101100…
…0001100010000000001
322021002011100120202002
41100133120030100001
52403444444444444
6103411540233345
76146466006503
oct1203730142001
9267064316662
1086425781249
11337201116a5
12148bb99b855
1381c449ab42
14427c33dd73
1523ac6add4e
hex141f60c401

86425781249 has 16 divisors (see below), whose sum is σ = 91758213120. Its totient is φ = 81234513360.

The previous prime is 86425781243. The next prime is 86425781287. The reversal of 86425781249 is 94218752468.

It is a cyclic number.

It is a trimorphic number since its cube, 645550084277930974960586425781249, ends in 86425781249.

It is not a de Polignac number, because 86425781249 - 232 = 82130813953 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 86425781194 and 86425781203.

It is not an unprimeable number, because it can be changed into a prime (86425781243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 270674 + ... + 496100.

It is an arithmetic number, because the mean of its divisors is an integer number (5734888320).

Almost surely, 286425781249 is an apocalyptic number.

It is an amenable number.

86425781249 is a deficient number, since it is larger than the sum of its proper divisors (5332431871).

86425781249 is a wasteful number, since it uses less digits than its factorization.

86425781249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225740.

The product of its digits is 7741440, while the sum is 56.

The spelling of 86425781249 in words is "eighty-six billion, four hundred twenty-five million, seven hundred eighty-one thousand, two hundred forty-nine".

Divisors: 1 23 79 211 1817 4853 16669 225427 383387 5184821 17808733 47565097 409600859 1093997231 3757642663 86425781249