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82316625686880 = 253513194395772741
BaseRepresentation
bin10010101101110111010101…
…001110111011000101100000
3101210110101121011210022011220
4102231313111032323011200
541242133422133440010
6451023422532535040
723224115502423264
oct2255672516730540
9353411534708156
1082316625686880
1124257315234912
12929561b481480
1336c15697cba20
14164820866a0a4
1597b39e9ae970
hex4addd53bb160

82316625686880 has 768 divisors, whose sum is σ = 295228165478400. Its totient is φ = 19112208629760.

The previous prime is 82316625686821. The next prime is 82316625686917. The reversal of 82316625686880 is 8868652661328.

It is a super-3 number, since 3×823166256868803 (a number of 43 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 127 ways as a sum of consecutive naturals, for example, 30031602310 + ... + 30031605050.

It is an arithmetic number, because the mean of its divisors is an integer number (384411673800).

Almost surely, 282316625686880 is an apocalyptic number.

82316625686880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82316625686880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147614082739200).

82316625686880 is an abundant number, since it is smaller than the sum of its proper divisors (212911539791520).

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

82316625686880 is a wasteful number, since it uses less digits than its factorization.

82316625686880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3807 (or 3799 counting only the distinct ones).

The product of its (nonzero) digits is 318504960, while the sum is 69.

The spelling of 82316625686880 in words is "eighty-two trillion, three hundred sixteen billion, six hundred twenty-five million, six hundred eighty-six thousand, eight hundred eighty".