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82474569216 = 29321317109743
BaseRepresentation
bin100110011001111011…
…1100000111000000000
321212212210110012210200
41030303313200320000
52322401442203331
6101515512125200
75646540162054
oct1146367407000
9255783405720
1082474569216
1131a82820606
1213b98696800
137a149cbc60
143dc5689c64
15222a8745e6
hex1333de0e00

82474569216 has 480 divisors, whose sum is σ = 274274320320. Its totient is φ = 23633068032.

The previous prime is 82474569211. The next prime is 82474569241. The reversal of 82474569216 is 61296547428.

82474569216 is a `hidden beast` number, since 8 + 2 + 4 + 74 + 569 + 2 + 1 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82474569211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111001741 + ... + 111002483.

It is an arithmetic number, because the mean of its divisors is an integer number (571404834).

Almost surely, 282474569216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82474569216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137137160160).

82474569216 is an abundant number, since it is smaller than the sum of its proper divisors (191799751104).

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

82474569216 is a wasteful number, since it uses less digits than its factorization.

82474569216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 887 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 82474569216 in words is "eighty-two billion, four hundred seventy-four million, five hundred sixty-nine thousand, two hundred sixteen".