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1660845288960 = 2933511131131487
BaseRepresentation
bin11000001010110010000…
…101111110111000000000
312212202221011102102012000
4120022302011332320000
5204202402343221320
63310552022304000
7230664203012034
oct30126205767000
95782834372160
101660845288960
115903a695a670
12229a71888000
13c08038320c0
145a5575381c4
152d308157c90
hex182b217ee00

1660845288960 has 1280 divisors, whose sum is σ = 6996872171520. Its totient is φ = 368120954880.

The previous prime is 1660845288959. The next prime is 1660845288979. The reversal of 1660845288960 is 698825480661.

1660845288960 is a `hidden beast` number, since 16 + 6 + 0 + 8 + 4 + 528 + 8 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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 127 ways as a sum of consecutive naturals, for example, 1116909337 + ... + 1116910823.

It is an arithmetic number, because the mean of its divisors is an integer number (5466306384).

Almost surely, 21660845288960 is an apocalyptic number.

1660845288960 is a gapful number since it is divisible by the number (10) 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 1660845288960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3498436085760).

1660845288960 is an abundant number, since it is smaller than the sum of its proper divisors (5336026882560).

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

1660845288960 is a wasteful number, since it uses less digits than its factorization.

1660845288960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1656 (or 1634 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 1660845288960 in words is "one trillion, six hundred sixty billion, eight hundred forty-five million, two hundred eighty-eight thousand, nine hundred sixty".