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8186085141 = 313573736587
BaseRepresentation
bin1111001111110110…
…11011111100010101
3210010111120012201120
413213323123330111
5113231114211031
63432144114153
7406600401303
oct74773337425
923114505646
108186085141
113520916a23
121705605959
13a05c67980
145792a7273
1532da06a96
hex1e7edbf15

8186085141 has 16 divisors (see below), whose sum is σ = 11756748864. Its totient is φ = 5036575104.

The previous prime is 8186085119. The next prime is 8186085151. The reversal of 8186085141 is 1415806818.

It is not a de Polignac number, because 8186085141 - 210 = 8186084117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 8186085093 and 8186085102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8186085151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205450 + ... + 242036.

It is an arithmetic number, because the mean of its divisors is an integer number (734796804).

Almost surely, 28186085141 is an apocalyptic number.

It is an amenable number.

8186085141 is a deficient number, since it is larger than the sum of its proper divisors (3570663723).

8186085141 is a wasteful number, since it uses less digits than its factorization.

8186085141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42340.

The product of its (nonzero) digits is 61440, while the sum is 42.

The square root of 8186085141 is about 90476.9868032750. The cubic root of 8186085141 is about 2015.3883901403.

The spelling of 8186085141 in words is "eight billion, one hundred eighty-six million, eighty-five thousand, one hundred forty-one".

Divisors: 1 3 13 39 5737 17211 36587 74581 109761 223743 475631 1426893 209899619 629698857 2728695047 8186085141