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2046296645120 = 29571329499607
BaseRepresentation
bin11101110001110000110…
…010001101111000000000
321020121211221011002202002
4131301300302031320000
5232011303420120440
64204020010443132
7300561065331560
oct35616062157000
97217757132662
102046296645120
11719914122572
122907047334a8
1311ac70ca7440
1471081408da0
1538367697115
hex1dc70c8de00

2046296645120 has 640 divisors, whose sum is σ = 6269598720000. Its totient is φ = 623006318592.

The previous prime is 2046296645089. The next prime is 2046296645161. The reversal of 2046296645120 is 215466926402.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3371163857 + ... + 3371164463.

It is an arithmetic number, because the mean of its divisors is an integer number (9796248000).

Almost surely, 22046296645120 is an apocalyptic number.

2046296645120 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 2046296645120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3134799360000).

2046296645120 is an abundant number, since it is smaller than the sum of its proper divisors (4223302074880).

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

2046296645120 is a wasteful number, since it uses less digits than its factorization.

2046296645120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1178 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 47.

The spelling of 2046296645120 in words is "two trillion, forty-six billion, two hundred ninety-six million, six hundred forty-five thousand, one hundred twenty".