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66883005 = 32571131879
BaseRepresentation
bin1111111100100…
…0110110111101
311122212000020100
43333020312331
5114110224010
610345311313
71441332120
oct377106675
9148760210
1066883005
1134832212
121a495539
1310b19b57
148c503b7
155d122c0
hex3fc8dbd

66883005 has 48 divisors (see below), whose sum is σ = 133735680. Its totient is φ = 30288384.

The previous prime is 66883001. The next prime is 66883031. The reversal of 66883005 is 50038866.

It is not a de Polignac number, because 66883005 - 22 = 66883001 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66883001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34656 + ... + 36534.

It is an arithmetic number, because the mean of its divisors is an integer number (2786160).

Almost surely, 266883005 is an apocalyptic number.

It is an amenable number.

66883005 is a deficient number, since it is larger than the sum of its proper divisors (66852675).

66883005 is a wasteful number, since it uses less digits than its factorization.

66883005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2010 (or 2007 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 66883005 is about 8178.2030422337. The cubic root of 66883005 is about 405.9182639378.

The spelling of 66883005 in words is "sixty-six million, eight hundred eighty-three thousand, five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 113 315 339 565 791 1017 1695 1879 2373 3955 5085 5637 7119 9395 11865 13153 16911 28185 35595 39459 65765 84555 118377 197295 212327 591885 636981 1061635 1486289 1910943 3184905 4458867 7431445 9554715 13376601 22294335 66883005