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66705408001 = 288432312707
BaseRepresentation
bin111110000111111100…
…111100000000000001
320101011210222211021201
4332013330330000001
52043103041024001
650351040221201
74551010420111
oct760774740001
9211153884251
1066705408001
1126320511371
1210b1760a801
1363a0a09a2b
14332b247041
151b0627a501
hexf87f3c001

66705408001 has 4 divisors (see below), whose sum is σ = 66707749552. Its totient is φ = 66703066452.

The previous prime is 66705407999. The next prime is 66705408017. The reversal of 66705408001 is 10080450766.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 10080450766 = 25040225383.

It is a cyclic number.

It is not a de Polignac number, because 66705408001 - 21 = 66705407999 is a prime.

It is a super-3 number, since 3×667054080013 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (66705408071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1127511 + ... + 1185196.

It is an arithmetic number, because the mean of its divisors is an integer number (16676937388).

Almost surely, 266705408001 is an apocalyptic number.

It is an amenable number.

66705408001 is a deficient number, since it is larger than the sum of its proper divisors (2341551).

66705408001 is a wasteful number, since it uses less digits than its factorization.

66705408001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2341550.

The product of its (nonzero) digits is 40320, while the sum is 37.

Adding to 66705408001 its reverse (10080450766), we get a palindrome (76785858767).

The spelling of 66705408001 in words is "sixty-six billion, seven hundred five million, four hundred eight thousand, one".

Divisors: 1 28843 2312707 66705408001