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66072564061 = 752118116963
BaseRepresentation
bin111101100010001110…
…110101000101011101
320022112201012000121021
4331202032311011131
52040304034022221
650204152204141
74526224346050
oct754216650535
9208481160537
1066072564061
1126026270349
121097b699651
1362cc88186a
1432ab190a97
151aba921041
hexf623b515d

66072564061 has 8 divisors (see below), whose sum is σ = 75656441664. Its totient is φ = 56524921440.

The previous prime is 66072564037. The next prime is 66072564067. The reversal of 66072564061 is 16046527066.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 66072564061 - 25 = 66072564029 is a prime.

It is a super-3 number, since 3×660725640613 (a number of 33 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 66072563999 and 66072564017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66072564067) 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, 9054835 + ... + 9062128.

It is an arithmetic number, because the mean of its divisors is an integer number (9457055208).

Almost surely, 266072564061 is an apocalyptic number.

It is an amenable number.

66072564061 is a deficient number, since it is larger than the sum of its proper divisors (9583877603).

66072564061 is a wasteful number, since it uses less digits than its factorization.

66072564061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18117491.

The product of its (nonzero) digits is 362880, while the sum is 43.

The spelling of 66072564061 in words is "sixty-six billion, seventy-two million, five hundred sixty-four thousand, sixty-one".

Divisors: 1 7 521 3647 18116963 126818741 9438937723 66072564061