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2030992877760 = 2635721117373619
BaseRepresentation
bin11101100011100000100…
…110111110100011000000
321012011100101102011120120
4131203200212332203000
5231233433134042020
64153005241540240
7266506616422200
oct35434046764300
97164311364516
102030992877760
11713380593650
122897534a4680
131196a25418b2
147042cb10400
1537c6dd7c740
hex1d8e09be8c0

2030992877760 has 1344 divisors, whose sum is σ = 8701755194880. Its totient is φ = 395494686720.

The previous prime is 2030992877701. The next prime is 2030992877779. The reversal of 2030992877760 is 677782990302.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 2030992877694 and 2030992877703.

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 191 ways as a sum of consecutive naturals, for example, 3281086731 + ... + 3281087349.

Almost surely, 22030992877760 is an apocalyptic number.

2030992877760 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 2030992877760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4350877597440).

2030992877760 is an abundant number, since it is smaller than the sum of its proper divisors (6670762317120).

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

2030992877760 is a wasteful number, since it uses less digits than its factorization.

2030992877760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 16003008, while the sum is 60.

The spelling of 2030992877760 in words is "two trillion, thirty billion, nine hundred ninety-two million, eight hundred seventy-seven thousand, seven hundred sixty".