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2064753210240 = 273357292272593
BaseRepresentation
bin11110000010111100111…
…000011011001110000000
321022101111012102202101000
4132002330320123032000
5232312103310211430
64220311243012000
7302113336465410
oct36027470331600
97271435382330
102064753210240
117267253a5076
122941b580a000
1311c9229929a6
1471d12722640
1538a97b88e60
hex1e0bce1b380

2064753210240 has 1024 divisors, whose sum is σ = 8686953216000. Its totient is φ = 453487362048.

The previous prime is 2064753210199. The next prime is 2064753210253. The reversal of 2064753210240 is 420123574602.

2064753210240 is a `hidden beast` number, since 2 + 0 + 647 + 5 + 3 + 2 + 1 + 0 + 2 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2064753210195 and 2064753210204.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 796278384 + ... + 796280976.

It is an arithmetic number, because the mean of its divisors is an integer number (8483352750).

Almost surely, 22064753210240 is an apocalyptic number.

2064753210240 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 2064753210240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4343476608000).

2064753210240 is an abundant number, since it is smaller than the sum of its proper divisors (6622200005760).

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

2064753210240 is a wasteful number, since it uses less digits than its factorization.

2064753210240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2884 (or 2866 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Adding to 2064753210240 its reverse (420123574602), we get a palindrome (2484876784842).

The spelling of 2064753210240 in words is "two trillion, sixty-four billion, seven hundred fifty-three million, two hundred ten thousand, two hundred forty".