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2092483800960 = 27357222679811
BaseRepresentation
bin11110011100110001110…
…000001110111110000000
321102001001210102201110120
4132130301300032332000
5233240401323112320
64241135045500240
7304114461561600
oct36346160167600
97361053381416
102092483800960
11737465611343
12299654711680
13122421b33757
14733c35c2c00
153966c435440
hex1e731c0ef80

2092483800960 has 384 divisors, whose sum is σ = 7762951405440. Its totient is φ = 478022307840.

The previous prime is 2092483800941. The next prime is 2092483800977. The reversal of 2092483800960 is 690083842902.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×20924838009603 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 213274455 + ... + 213284265.

It is an arithmetic number, because the mean of its divisors is an integer number (20216019285).

Almost surely, 22092483800960 is an apocalyptic number.

2092483800960 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 2092483800960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3881475702720).

2092483800960 is an abundant number, since it is smaller than the sum of its proper divisors (5670467604480).

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

2092483800960 is a wasteful number, since it uses less digits than its factorization.

2092483800960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12114 (or 12095 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The spelling of 2092483800960 in words is "two trillion, ninety-two billion, four hundred eighty-three million, eight hundred thousand, nine hundred sixty".