Search a number
-
+
82435673327 = 737734360061
BaseRepresentation
bin100110011000110001…
…1001000110011101111
321212210002021002200012
41030301203020303233
52322312013021302
6101512002323435
75645555443010
oct1146143106357
9255702232605
1082435673327
1131a62874547
1213b8765957b
137a09930b37
143dc0443007
15222723ea52
hex13318c8cef

82435673327 has 16 divisors (see below), whose sum is σ = 98083954752. Its totient is φ = 67807653120.

The previous prime is 82435673321. The next prime is 82435673351. The reversal of 82435673327 is 72337653428.

It is a cyclic number.

It is not a de Polignac number, because 82435673327 - 24 = 82435673311 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82435673321) 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 15 ways as a sum of consecutive naturals, for example, 2161124 + ... + 2198937.

It is an arithmetic number, because the mean of its divisors is an integer number (6130247172).

Almost surely, 282435673327 is an apocalyptic number.

82435673327 is a deficient number, since it is larger than the sum of its proper divisors (15648281425).

82435673327 is a wasteful number, since it uses less digits than its factorization.

82435673327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4360178.

The product of its digits is 5080320, while the sum is 50.

The spelling of 82435673327 in words is "eighty-two billion, four hundred thirty-five million, six hundred seventy-three thousand, three hundred twenty-seven".

Divisors: 1 7 37 73 259 511 2701 18907 4360061 30520427 161322257 318284453 1129255799 2227991171 11776524761 82435673327