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82906714583 = 7211295303993
BaseRepresentation
bin100110100110110100…
…0000001000111010111
321220222220121110210122
41031031220001013113
52324243104331313
6102030430342155
75663335306100
oct1151550010727
9256886543718
1082906714583
1132184751840
121409935a95b
137a833b6b84
144026c1b3a7
152253787708
hex134da011d7

82906714583 has 24 divisors (see below), whose sum is σ = 108837956880. Its totient is φ = 62374945920.

The previous prime is 82906714559. The next prime is 82906714621. The reversal of 82906714583 is 38541760928.

It is not a de Polignac number, because 82906714583 - 212 = 82906710487 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82906714543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2636366 + ... + 2667627.

It is an arithmetic number, because the mean of its divisors is an integer number (4534914870).

It is a 1-persistent number, because it is pandigital, but 2⋅82906714583 = 165813429166 is not.

Almost surely, 282906714583 is an apocalyptic number.

82906714583 is a deficient number, since it is larger than the sum of its proper divisors (25931242297).

82906714583 is a wasteful number, since it uses less digits than its factorization.

82906714583 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5304047 (or 5304040 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 53.

The spelling of 82906714583 in words is "eighty-two billion, nine hundred six million, seven hundred fourteen thousand, five hundred eighty-three".

Divisors: 1 7 11 29 49 77 203 319 539 1421 2233 15631 5303993 37127951 58343923 153815797 259895657 408407461 1076710579 1691973767 2858852227 7536974053 11843816369 82906714583