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66656727 = 32311731381
BaseRepresentation
bin1111111001000…
…1100111010111
311122102111211200
43332101213113
5114031003402
610340403543
71436400324
oct376214727
9148374750
1066656727
1134698205
121a3a65b3
1310a6ab67
148bd1b4b
155cba21c
hex3f919d7

66656727 has 24 divisors (see below), whose sum is σ = 100034688. Its totient is φ = 42724800.

The previous prime is 66656683. The next prime is 66656741. The reversal of 66656727 is 72765666.

It is not a de Polignac number, because 66656727 - 26 = 66656663 is a prime.

It is a super-4 number, since 4×666567274 (a number of 32 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66656767) 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 23 ways as a sum of consecutive naturals, for example, 47577 + ... + 48957.

It is an arithmetic number, because the mean of its divisors is an integer number (4168112).

Almost surely, 266656727 is an apocalyptic number.

66656727 is a deficient number, since it is larger than the sum of its proper divisors (33377961).

66656727 is a wasteful number, since it uses less digits than its factorization.

66656727 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1591 (or 1588 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The square root of 66656727 is about 8164.3571087992. The cubic root of 66656727 is about 405.4599803498.

The spelling of 66656727 in words is "sixty-six million, six hundred fifty-six thousand, seven hundred twenty-seven".

Divisors: 1 3 9 31 93 173 279 519 1381 1557 4143 5363 12429 16089 42811 48267 128433 238913 385299 716739 2150217 7406303 22218909 66656727