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82172320040 = 2359721178433
BaseRepresentation
bin100110010000111011…
…0100001100100101000
321212002201201100212202
41030201312201210220
52321242103220130
6101425513555332
75636210124116
oct1144166414450
9255081640782
1082172320040
11319381502a8
1213b13415b48
1379971c44a5
143d9748cab6
15220e06e145
hex1321da1928

82172320040 has 32 divisors (see below), whose sum is σ = 186793787880. Its totient is φ = 32530071552.

The previous prime is 82172320039. The next prime is 82172320067. The reversal of 82172320040 is 4002327128.

It can be written as a sum of positive squares in 4 ways, for example, as 41950413124 + 40221906916 = 204818^2 + 200554^2 .

It is a junction number, because it is equal to n+sod(n) for n = 82172319985 and 82172320012.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10585337 + ... + 10593096.

Almost surely, 282172320040 is an apocalyptic number.

It is an amenable number.

82172320040 is an abundant number, since it is smaller than the sum of its proper divisors (104621467840).

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

82172320040 is a wasteful number, since it uses less digits than its factorization.

82172320040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21178541 (or 21178537 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

Adding to 82172320040 its reverse (4002327128), we get a palindrome (86174647168).

The spelling of 82172320040 in words is "eighty-two billion, one hundred seventy-two million, three hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 97 194 388 485 776 970 1940 3880 21178433 42356866 84713732 105892165 169427464 211784330 423568660 847137320 2054308001 4108616002 8217232004 10271540005 16434464008 20543080010 41086160020 82172320040