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2086052928960 = 26357111373131227
BaseRepresentation
bin11110010110110010011…
…100011001110111000000
321101102110121121120112010
4132112302130121313000
5233134214022211320
64234153001532520
7303466223221620
oct36266234316700
97342417546463
102086052928960
11734765549aa0
1229835aaa4140
13121938707550
1472d73494880
15393e2a8bae0
hex1e5b2719dc0

2086052928960 has 1792 divisors, whose sum is σ = 9123358261248. Its totient is φ = 389903155200.

The previous prime is 2086052928943. The next prime is 2086052928983. The reversal of 2086052928960 is 698292506802.

It is a self number, because there is not a number n which added to its sum of digits gives 2086052928960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 9189660367 + ... + 9189660593.

It is an arithmetic number, because the mean of its divisors is an integer number (5091159744).

Almost surely, 22086052928960 is an apocalyptic number.

2086052928960 is a gapful number since it is divisible by the number (20) 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 2086052928960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4561679130624).

2086052928960 is an abundant number, since it is smaller than the sum of its proper divisors (7037305332288).

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

2086052928960 is a wasteful number, since it uses less digits than its factorization.

2086052928960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 57.

The spelling of 2086052928960 in words is "two trillion, eighty-six billion, fifty-two million, nine hundred twenty-eight thousand, nine hundred sixty".