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8084146941 = 321325315021
BaseRepresentation
bin1111000011101101…
…00100101011111101
3202212101202012210200
413201312210223331
5113024020200231
63414103154113
7404222054343
oct74166445375
922771665720
108084146941
113479321282
121697445939
139baac5c00
1456992d993
15324abcbe6
hex1e1da4afd

8084146941 has 18 divisors (see below), whose sum is σ = 12644437338. Its totient is φ = 4974858720.

The previous prime is 8084146913. The next prime is 8084147011. The reversal of 8084146941 is 1496414808.

It can be written as a sum of positive squares in 3 ways, for example, as 270470916 + 7813676025 = 16446^2 + 88395^2 .

It is not a de Polignac number, because 8084146941 - 26 = 8084146877 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8084146141) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2655990 + ... + 2659031.

It is an arithmetic number, because the mean of its divisors is an integer number (702468741).

Almost surely, 28084146941 is an apocalyptic number.

It is an amenable number.

8084146941 is a deficient number, since it is larger than the sum of its proper divisors (4560290397).

8084146941 is a wasteful number, since it uses less digits than its factorization.

8084146941 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5315053 (or 5315037 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 8084146941 is about 89911.8843145888. The cubic root of 8084146941 is about 2006.9878019610.

The spelling of 8084146941 in words is "eight billion, eighty-four million, one hundred forty-six thousand, nine hundred forty-one".

Divisors: 1 3 9 13 39 117 169 507 1521 5315021 15945063 47835189 69095273 207285819 621857457 898238549 2694715647 8084146941