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66376442223 = 3371342976287
BaseRepresentation
bin111101110100010110…
…000010000101101111
320100022212222122002000
4331310112002011233
52041414332122343
650254245303343
74536604310160
oct756426020557
9210285878060
1066376442223
1126171853523
1210a45404b53
13634a809920
1432d9693767
151ad7448ed3
hexf7458216f

66376442223 has 64 divisors (see below), whose sum is σ = 121075691520. Its totient is φ = 34998034176.

The previous prime is 66376442207. The next prime is 66376442281. The reversal of 66376442223 is 32224467366.

It is a happy number.

66376442223 is a `hidden beast` number, since 6 + 637 + 6 + 4 + 4 + 2 + 2 + 2 + 3 = 666.

It is not a de Polignac number, because 66376442223 - 24 = 66376442207 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66376442023) 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 63 ways as a sum of consecutive naturals, for example, 10554586 + ... + 10560872.

It is an arithmetic number, because the mean of its divisors is an integer number (1891807680).

Almost surely, 266376442223 is an apocalyptic number.

66376442223 is a gapful number since it is divisible by the number (63) formed by its first and last digit.

66376442223 is a deficient number, since it is larger than the sum of its proper divisors (54699249297).

66376442223 is a wasteful number, since it uses less digits than its factorization.

66376442223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10613 (or 10607 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 45.

The spelling of 66376442223 in words is "sixty-six billion, three hundred seventy-six million, four hundred forty-two thousand, two hundred twenty-three".

Divisors: 1 3 7 9 13 21 27 39 63 91 117 189 273 351 819 2457 4297 6287 12891 18861 30079 38673 44009 55861 56583 81731 90237 116019 132027 167583 169749 245193 270711 391027 396081 502749 572117 735579 812133 1173081 1188243 1508247 1716351 2206737 3519243 5149053 10557729 15447159 27015239 81045717 189106673 243137151 351198107 567320019 729411453 1053594321 1701960057 2458386749 3160782963 5105880171 7375160247 9482348889 22125480741 66376442223