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82190683530 = 23351717906467
BaseRepresentation
bin100110010001011110…
…0100100110110001010
321212011000021022212000
41030202330210312022
52321311303333110
6101431411331430
75636522166024
oct1144274446612
9255130238760
1082190683530
113194755303a
1213b195b0b76
13799ac53a67
143d99aad014
15221099a1c0
hex1322f24d8a

82190683530 has 64 divisors (see below), whose sum is σ = 232067825280. Its totient is φ = 20628248832.

The previous prime is 82190683469. The next prime is 82190683537. The reversal of 82190683530 is 3538609128.

It is a happy number.

82190683530 is a `hidden beast` number, since 8 + 21 + 90 + 6 + 8 + 3 + 530 = 666.

It is a super-2 number, since 2×821906835302 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (82190683537) 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 31 ways as a sum of consecutive naturals, for example, 8948644 + ... + 8957823.

It is an arithmetic number, because the mean of its divisors is an integer number (3626059770).

Almost surely, 282190683530 is an apocalyptic number.

82190683530 is an abundant number, since it is smaller than the sum of its proper divisors (149877141750).

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

82190683530 is a wasteful number, since it uses less digits than its factorization.

82190683530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17906500 (or 17906494 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 82190683530 in words is "eighty-two billion, one hundred ninety million, six hundred eighty-three thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 85 90 102 135 153 170 255 270 306 459 510 765 918 1530 2295 4590 17906467 35812934 53719401 89532335 107438802 161158203 179064670 268597005 304409939 322316406 483474609 537194010 608819878 805791015 913229817 966949218 1522049695 1611582030 1826459634 2417373045 2739689451 3044099390 4566149085 4834746090 5479378902 8219068353 9132298170 13698447255 16438136706 27396894510 41095341765 82190683530