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82643212841 = 7232232301847
BaseRepresentation
bin100110011110111101…
…0110101101000101001
321220022112210012100212
41030331322311220221
52323223130302331
6101544334510505
75653655501330
oct1147572655051
9256275705325
1082643212841
1132059a37002
1214025065435
137a40927a97
143dddc28d17
15223a587d2b
hex133deb5a29

82643212841 has 16 divisors (see below), whose sum is σ = 98997878784. Its totient is φ = 67453295184.

The previous prime is 82643212819. The next prime is 82643212849. The reversal of 82643212841 is 14821234628.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-82643212841 is a prime.

It is a super-3 number, since 3×826432128413 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (82643212849) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1115021 + ... + 1186826.

It is an arithmetic number, because the mean of its divisors is an integer number (6187367424).

Almost surely, 282643212841 is an apocalyptic number.

It is an amenable number.

82643212841 is a deficient number, since it is larger than the sum of its proper divisors (16354665943).

82643212841 is a wasteful number, since it uses less digits than its factorization.

82643212841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2302100.

The product of its digits is 147456, while the sum is 41.

The spelling of 82643212841 in words is "eighty-two billion, six hundred forty-three million, two hundred twelve thousand, eight hundred forty-one".

Divisors: 1 7 23 161 223 1561 5129 35903 2301847 16112929 52942481 370597367 513311881 3593183167 11806173263 82643212841