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2082530202592 = 2571931433311109
BaseRepresentation
bin11110010011100000011…
…110010001001111100000
321101002101002222112102011
4132103200132101033200
5233110010212440332
64232411241402304
7303313016436430
oct36234036211740
97332332875364
102082530202592
1173321800a594
12297737199394
131214c6941888
1472b1b69c2c0
1539288690e47
hex1e4e07913e0

2082530202592 has 384 divisors, whose sum is σ = 5230271692800. Its totient is φ = 796100659200.

The previous prime is 2082530202559. The next prime is 2082530202619. The reversal of 2082530202592 is 2952020352802.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1877844534 + ... + 1877845642.

It is an arithmetic number, because the mean of its divisors is an integer number (13620499200).

Almost surely, 22082530202592 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 2082530202592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2615135846400).

2082530202592 is an abundant number, since it is smaller than the sum of its proper divisors (3147741490208).

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

2082530202592 is a wasteful number, since it uses less digits than its factorization.

2082530202592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1550 (or 1542 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The spelling of 2082530202592 in words is "two trillion, eighty-two billion, five hundred thirty million, two hundred two thousand, five hundred ninety-two".