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82382015070 = 232519149323333
BaseRepresentation
bin100110010111001011…
…0011100101001011110
321212122100021222101100
41030232112130221132
52322204243440240
6101502404253530
75644334400645
oct1145626345136
9255570258340
1082382015070
1131a35555283
1213b716a12a6
1379cb7945a4
143db727635c
152222690e30
hex132e59ca5e

82382015070 has 96 divisors (see below), whose sum is σ = 226980468000. Its totient is φ = 20672554752.

The previous prime is 82382015047. The next prime is 82382015083. The reversal of 82382015070 is 7051028328.

It is a super-3 number, since 3×823820150703 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93124 + ... + 416456.

It is an arithmetic number, because the mean of its divisors is an integer number (2364379875).

Almost surely, 282382015070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82382015070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113490234000).

82382015070 is an abundant number, since it is smaller than the sum of its proper divisors (144598452930).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82382015070 is a wasteful number, since it uses less digits than its factorization.

82382015070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323514 (or 323511 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 82382015070 in words is "eighty-two billion, three hundred eighty-two million, fifteen thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 149 171 190 285 298 342 447 570 745 855 894 1341 1490 1710 2235 2682 2831 4470 5662 6705 8493 13410 14155 16986 25479 28310 42465 50958 84930 127395 254790 323333 646666 969999 1616665 1939998 2909997 3233330 4849995 5819994 6143327 9699990 12286654 14549985 18429981 29099970 30716635 36859962 48176617 55289943 61433270 92149905 96353234 110579886 144529851 184299810 240883085 276449715 289059702 433589553 481766170 552899430 722649255 867179106 915355723 1445298510 1830711446 2167947765 2746067169 4335895530 4576778615 5492134338 8238201507 9153557230 13730335845 16476403014 27460671690 41191007535 82382015070