Search a number
-
+
82123594377 = 31141131463339
BaseRepresentation
bin100110001111011110…
…0101001101010001001
321211222100000211211120
41030132330221222021
52321142120010002
6101421013345453
75635046014566
oct1143674515211
9254870024746
1082123594377
113191269aa60
1213abb038289
13798a094136
143d90c0786d
152209b46cbc
hex131ef29a89

82123594377 has 32 divisors (see below), whose sum is σ = 123300334080. Its totient is φ = 48187152000.

The previous prime is 82123594331. The next prime is 82123594439. The reversal of 82123594377 is 77349532128.

It is not a de Polignac number, because 82123594377 - 215 = 82123561609 is a prime.

It is a super-3 number, since 3×821235943773 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (82123594327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54427 + ... + 408912.

It is an arithmetic number, because the mean of its divisors is an integer number (3853135440).

Almost surely, 282123594377 is an apocalyptic number.

It is an amenable number.

82123594377 is a deficient number, since it is larger than the sum of its proper divisors (41176739703).

82123594377 is a wasteful number, since it uses less digits than its factorization.

82123594377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463525.

The product of its digits is 2540160, while the sum is 51.

The spelling of 82123594377 in words is "eighty-two billion, one hundred twenty-three million, five hundred ninety-four thousand, three hundred seventy-seven".

Divisors: 1 3 11 33 41 123 131 393 451 1353 1441 4323 5371 16113 59081 177243 463339 1390017 5096729 15290187 18996899 56990697 60697409 182092227 208965889 626897667 667671499 2003014497 2488593769 7465781307 27374531459 82123594377