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2086992873504 = 25337311712127
BaseRepresentation
bin11110010111101010011…
…110000000100000100000
321101111220010021201001000
4132113222132000200200
5233143130133423004
64234430140112000
7303531425505000
oct36275236004040
97344803251030
102086992873504
117350a8084270
12298581835600
13121a58378456
147302224c000
153944a358c39
hex1e5ea780820

2086992873504 has 1152 divisors, whose sum is σ = 7916396544000. Its totient is φ = 530232998400.

The previous prime is 2086992873443. The next prime is 2086992873521. The reversal of 2086992873504 is 4053782996802.

2086992873504 is a `hidden beast` number, since 20 + 86 + 9 + 9 + 28 + 7 + 3 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16433014689 + ... + 16433014815.

It is an arithmetic number, because the mean of its divisors is an integer number (6871872000).

Almost surely, 22086992873504 is an apocalyptic number.

2086992873504 is a gapful number since it is divisible by the number (24) 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 2086992873504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3958198272000).

2086992873504 is an abundant number, since it is smaller than the sum of its proper divisors (5829403670496).

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

2086992873504 is a wasteful number, since it uses less digits than its factorization.

2086992873504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 2086992873504 in words is "two trillion, eighty-six billion, nine hundred ninety-two million, eight hundred seventy-three thousand, five hundred four".