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82824203345 = 5133143639421
BaseRepresentation
bin100110100100010110…
…1010000110001010001
321220210011100110122212
41031020231100301101
52324110444001340
6102014322041505
75661314053412
oct1151055206121
9256704313585
1082824203345
1132142115934
12140757a9295
137a6c287760
144019c9d809
15224b3d9a65
hex1348b50c51

82824203345 has 32 divisors (see below), whose sum is σ = 110524130304. Its totient is φ = 59169657600.

The previous prime is 82824203327. The next prime is 82824203353. The reversal of 82824203345 is 54330242828.

It is not a de Polignac number, because 82824203345 - 220 = 82823154769 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8786735 + ... + 8796155.

It is an arithmetic number, because the mean of its divisors is an integer number (3453879072).

Almost surely, 282824203345 is an apocalyptic number.

It is an amenable number.

82824203345 is a deficient number, since it is larger than the sum of its proper divisors (27699926959).

82824203345 is a wasteful number, since it uses less digits than its factorization.

82824203345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13833.

The product of its (nonzero) digits is 368640, while the sum is 41.

The spelling of 82824203345 in words is "eighty-two billion, eight hundred twenty-four million, two hundred three thousand, three hundred forty-five".

Divisors: 1 5 13 31 65 155 403 2015 4363 9421 21815 47105 56719 122473 135253 283595 292051 612365 676265 1460255 1758289 3796663 8791445 18983315 41103823 205519115 534349699 1274218513 2671748495 6371092565 16564840669 82824203345