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82646371913 = 7176773149953
BaseRepresentation
bin100110011111000011…
…0111000111001001001
321220022202201200210112
41030332012320321021
52323224432400123
6101544530324105
75654024366420
oct1147606707111
9256282650715
1082646371913
11320607a4506
1214026129635
137a41492961
14400040c2b7
15223a9add78
hex133e1b8e49

82646371913 has 64 divisors (see below), whose sum is σ = 103691404800. Its totient is φ = 64275628032.

The previous prime is 82646371903. The next prime is 82646371957. The reversal of 82646371913 is 31917364628.

It is not a de Polignac number, because 82646371913 - 26 = 82646371849 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82646371903) 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 63 ways as a sum of consecutive naturals, for example, 86721845 + ... + 86722797.

It is an arithmetic number, because the mean of its divisors is an integer number (1620178200).

Almost surely, 282646371913 is an apocalyptic number.

It is an amenable number.

82646371913 is a deficient number, since it is larger than the sum of its proper divisors (21045032887).

82646371913 is a wasteful number, since it uses less digits than its factorization.

82646371913 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266.

The product of its digits is 1306368, while the sum is 50.

The spelling of 82646371913 in words is "eighty-two billion, six hundred forty-six million, three hundred seventy-one thousand, nine hundred thirteen".

Divisors: 1 7 17 67 73 119 149 469 511 953 1043 1139 1241 2533 4891 6671 7973 8687 9983 10877 16201 17731 34237 63851 69569 69881 76139 83147 113407 141997 169711 184909 446957 486983 582029 728759 993979 1085467 1182673 1187977 1294363 2413949 4661123 5101313 7598269 8278711 9513799 10365781 12388903 16897643 32627861 66596593 72560467 79239091 86722321 161734583 176218277 554673637 694507327 1132142081 1233527939 4861551289 11806624559 82646371913