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2065675332240 = 2432513288719139
BaseRepresentation
bin11110000011110011110…
…110000010101010010000
321022110212110120101221200
4132003303312002222100
5232321000341112430
64220542543151200
7302145234421632
oct36036366025220
97273773511850
102065675332240
11727058966a73
122944125a5500
1311ca3ba33600
1471d9cd9aa52
1538aedad5460
hex1e0f3d82a90

2065675332240 has 360 divisors, whose sum is σ = 7520769622080. Its totient is φ = 507874139136.

The previous prime is 2065675332229. The next prime is 2065675332269. The reversal of 2065675332240 is 422335765602.

2065675332240 is a `hidden beast` number, since 2 + 0 + 6 + 5 + 6 + 75 + 332 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 71 ways as a sum of consecutive naturals, for example, 107920591 + ... + 107939729.

It is an arithmetic number, because the mean of its divisors is an integer number (20891026728).

Almost surely, 22065675332240 is an apocalyptic number.

2065675332240 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 2065675332240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3760384811040).

2065675332240 is an abundant number, since it is smaller than the sum of its proper divisors (5455094289840).

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

2065675332240 is a wasteful number, since it uses less digits than its factorization.

2065675332240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20071 (or 20049 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 45.

The spelling of 2065675332240 in words is "two trillion, sixty-five billion, six hundred seventy-five million, three hundred thirty-two thousand, two hundred forty".