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66631413666 = 23293710349707
BaseRepresentation
bin111110000011100010…
…101010111110100010
320100222122202112010210
4332003202222332202
52042430120214131
650335434234550
74546121446146
oct760342527642
9210878675123
1066631413666
1126292772324
1210ab6885a56
13638b5a00bc
1433214a5226
151aeea11146
hexf838aafa2

66631413666 has 32 divisors (see below), whose sum is σ = 141584005440. Its totient is φ = 20865007296.

The previous prime is 66631413661. The next prime is 66631413683.

66631413666 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×666314136662 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (66631413661) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5168416 + ... + 5181291.

It is an arithmetic number, because the mean of its divisors is an integer number (4424500170).

Almost surely, 266631413666 is an apocalyptic number.

66631413666 is an abundant number, since it is smaller than the sum of its proper divisors (74952591774).

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

66631413666 is a wasteful number, since it uses less digits than its factorization.

66631413666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10349778.

The product of its digits is 1679616, while the sum is 48.

The spelling of 66631413666 in words is "sixty-six billion, six hundred thirty-one million, four hundred thirteen thousand, six hundred sixty-six".

Divisors: 1 2 3 6 29 37 58 74 87 111 174 222 1073 2146 3219 6438 10349707 20699414 31049121 62098242 300141503 382939159 600283006 765878318 900424509 1148817477 1800849018 2297634954 11105235611 22210471222 33315706833 66631413666