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66419291466 = 23311111816989
BaseRepresentation
bin111101110110111001…
…011111010101001010
320100102212121121012000
4331312321133111022
52042011314311331
650302415531430
74540634443113
oct756671372512
9210385547160
1066419291466
1126193a5a820
1210a57829b76
1363566602c8
14330124920a
151adb0b00e6
hexf76e5f54a

66419291466 has 32 divisors (see below), whose sum is σ = 161016465600. Its totient is φ = 20127057840.

The previous prime is 66419291453. The next prime is 66419291467.

66419291466 is a `hidden beast` number, since 6 + 6 + 4 + 1 + 92 + 91 + 466 = 666.

66419291466 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (66419291467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55907901 + ... + 55909088.

It is an arithmetic number, because the mean of its divisors is an integer number (5031764550).

Almost surely, 266419291466 is an apocalyptic number.

66419291466 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

66419291466 is an abundant number, since it is smaller than the sum of its proper divisors (94597174134).

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

66419291466 is a wasteful number, since it uses less digits than its factorization.

66419291466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111817011 (or 111817005 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The spelling of 66419291466 in words is "sixty-six billion, four hundred nineteen million, two hundred ninety-one thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 111816989 223633978 335450967 670901934 1006352901 1229986879 2012705802 2459973758 3019058703 3689960637 6038117406 7379921274 11069881911 22139763822 33209645733 66419291466