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66064105041 = 3112001942577
BaseRepresentation
bin111101100001101110…
…100011111001010001
320022112010021021000020
4331201232203321101
52040244402330131
650203251014053
74526062425144
oct754156437121
9208463237006
1066064105041
1126021512a20
121097889a329
1362cabac51c
1432a9dcc05b
151ab9cee996
hexf61ba3e51

66064105041 has 8 divisors (see below), whose sum is σ = 96093243744. Its totient is φ = 40038851520.

The previous prime is 66064105033. The next prime is 66064105049. The reversal of 66064105041 is 14050146066.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (66064105033) and next prime (66064105049).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 66064105041 - 23 = 66064105033 is a prime.

It is a super-2 number, since 2×660641050412 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33), and also a Moran number because the ratio is a prime number: 2001942577 = 66064105041 / (6 + 6 + 0 + 6 + 4 + 1 + 0 + 5 + 0 + 4 + 1).

It is a junction number, because it is equal to n+sod(n) for n = 66064104993 and 66064105011.

It is not an unprimeable number, because it can be changed into a prime (66064105049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1000971256 + ... + 1000971321.

It is an arithmetic number, because the mean of its divisors is an integer number (12011655468).

Almost surely, 266064105041 is an apocalyptic number.

It is an amenable number.

66064105041 is a deficient number, since it is larger than the sum of its proper divisors (30029138703).

66064105041 is a wasteful number, since it uses less digits than its factorization.

66064105041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2001942591.

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 66064105041 in words is "sixty-six billion, sixty-four million, one hundred five thousand, forty-one".

Divisors: 1 3 11 33 2001942577 6005827731 22021368347 66064105041