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82505555132 = 227112136773383
BaseRepresentation
bin100110011010110110…
…1101101110010111100
321212221221202110111012
41030311231231302330
52322432410231012
6101522540214352
75650364435030
oct1146555556274
9255857673435
1082505555132
1131a99264800
1213ba6b3a3b8
137a1b25a910
143dc98341c0
15222d445622
hex1335b6dcbc

82505555132 has 288 divisors, whose sum is σ = 201483534336. Its totient is φ = 28753781760.

The previous prime is 82505555123. The next prime is 82505555161. The reversal of 82505555132 is 23155550528.

It is a self number, because there is not a number n which added to its sum of digits gives 82505555132.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 215419013 + ... + 215419395.

Almost surely, 282505555132 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 82505555132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100741767168).

82505555132 is an abundant number, since it is smaller than the sum of its proper divisors (118977979204).

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

82505555132 is a wasteful number, since it uses less digits than its factorization.

82505555132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 300000, while the sum is 41.

The spelling of 82505555132 in words is "eighty-two billion, five hundred five million, five hundred fifty-five thousand, one hundred thirty-two".