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66882717 = 32111931237
BaseRepresentation
bin1111111100100…
…0110010011101
311122211222211200
43333020302131
5114110221332
610345310113
71441331226
oct377106235
9148758750
1066882717
1134831a80
121a495339
1310b19995
148c5024d
155d1217c
hex3fc8c9d

66882717 has 72 divisors (see below), whose sum is σ = 117730080. Its totient is φ = 36158400.

The previous prime is 66882707. The next prime is 66882719. The reversal of 66882717 is 71728866.

It is not a de Polignac number, because 66882717 - 26 = 66882653 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66882719) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1807623 + ... + 1807659.

It is an arithmetic number, because the mean of its divisors is an integer number (1635140).

Almost surely, 266882717 is an apocalyptic number.

It is an amenable number.

66882717 is a deficient number, since it is larger than the sum of its proper divisors (50847363).

66882717 is a wasteful number, since it uses less digits than its factorization.

66882717 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 101 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The square root of 66882717 is about 8178.1854344347. The cubic root of 66882717 is about 405.9176813053.

The spelling of 66882717 in words is "sixty-six million, eight hundred eighty-two thousand, seven hundred seventeen".

Divisors: 1 3 9 11 19 31 33 37 57 93 99 111 171 209 279 333 341 407 589 627 703 961 1023 1147 1221 1767 1881 2109 2883 3069 3441 3663 5301 6327 6479 7733 8649 10323 10571 12617 18259 19437 21793 23199 31713 35557 37851 54777 58311 65379 69597 95139 106671 113553 164331 196137 200849 239723 320013 391127 602547 675583 719169 1173381 1807641 2026749 2157507 3520143 6080247 7431413 22294239 66882717