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82830879382141 = 1167580719354099
BaseRepresentation
bin10010110101010110010001…
…001001000101101001111101
3101212021112222101211202110201
4102311112101021011221331
541324100120110212031
6452055551454203501
723306222256623542
oct2265262111055175
9355245871752421
1082830879382141
1124435419018550
129359219ab3591
13372abc2992cb7
141665070924bc9
1598994bb39d61
hex4b5591245a7d

82830879382141 has 16 divisors (see below), whose sum is σ = 91725428044800. Its totient is φ = 74164129372080.

The previous prime is 82830879382109. The next prime is 82830879382157. The reversal of 82830879382141 is 14128397803828.

It is not a de Polignac number, because 82830879382141 - 25 = 82830879382109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82830879382441) 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, 5397291 + ... + 13956808.

It is an arithmetic number, because the mean of its divisors is an integer number (5732839252800).

Almost surely, 282830879382141 is an apocalyptic number.

It is an amenable number.

82830879382141 is a deficient number, since it is larger than the sum of its proper divisors (8894548662659).

82830879382141 is a wasteful number, since it uses less digits than its factorization.

82830879382141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19359984.

The product of its (nonzero) digits is 37158912, while the sum is 64.

The spelling of 82830879382141 in words is "eighty-two trillion, eight hundred thirty billion, eight hundred seventy-nine million, three hundred eighty-two thousand, one hundred forty-one".

Divisors: 1 11 67 737 5807 63877 389069 4279759 19354099 212895089 1296724633 14263970963 112389252893 1236281781823 7530079943831 82830879382141