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66756285 = 3352392069
BaseRepresentation
bin1111111010100…
…1111010111101
311122121120102000
43332221322331
5114042200120
610342452513
71440263511
oct376517275
9148546360
1066756285
1134755a92
121a434139
1310aa427b
148c1a141
155cd9990
hex3fa9ebd

66756285 has 32 divisors (see below), whose sum is σ = 119232000. Its totient is φ = 35437248.

The previous prime is 66756271. The next prime is 66756307. The reversal of 66756285 is 58265766.

66756285 is a `hidden beast` number, since 6 + 6 + 7 + 562 + 85 = 666.

It is not a de Polignac number, because 66756285 - 24 = 66756269 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 66756285.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 31231 + ... + 33299.

It is an arithmetic number, because the mean of its divisors is an integer number (3726000).

Almost surely, 266756285 is an apocalyptic number.

It is an amenable number.

66756285 is a deficient number, since it is larger than the sum of its proper divisors (52475715).

66756285 is a wasteful number, since it uses less digits than its factorization.

66756285 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2322 (or 2316 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 66756285 is about 8170.4519458840. The cubic root of 66756285 is about 405.6617439528.

The spelling of 66756285 in words is "sixty-six million, seven hundred fifty-six thousand, two hundred eighty-five".

Divisors: 1 3 5 9 15 27 45 135 239 717 1195 2069 2151 3585 6207 6453 10345 10755 18621 31035 32265 55863 93105 279315 494491 1483473 2472455 4450419 7417365 13351257 22252095 66756285