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2010065242752 = 2732721272571091
BaseRepresentation
bin11101010000000001001…
…110011000101010000000
321010011022220101011022200
4131100001032120222000
5230413103200232002
64135224454033200
7265136201441100
oct35200116305200
97104286334280
102010065242752
11705511477726
12285692948800
13117718915c08
146d405557200
1537446976b1c
hex1d401398a80

2010065242752 has 576 divisors, whose sum is σ = 6814134512640. Its totient is φ = 567044997120.

The previous prime is 2010065242687. The next prime is 2010065242763. The reversal of 2010065242752 is 2572425600102.

2010065242752 is a `hidden beast` number, since 2 + 0 + 100 + 6 + 524 + 27 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1842405727 + ... + 1842406817.

It is an arithmetic number, because the mean of its divisors is an integer number (11830094640).

Almost surely, 22010065242752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010065242752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3407067256320).

2010065242752 is an abundant number, since it is smaller than the sum of its proper divisors (4804069269888).

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

2010065242752 is a wasteful number, since it uses less digits than its factorization.

2010065242752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1509 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 2010065242752 in words is "two trillion, ten billion, sixty-five million, two hundred forty-two thousand, seven hundred fifty-two".