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66411114 = 23711314637
BaseRepresentation
bin1111110101010…
…1101001101010
311121222000220220
43331111221222
5114000123424
610331230510
71434325260
oct375255152
9147860826
1066411114
113453a720
121a2a8436
13109b3123
148b6a430
155c6c579
hex3f55a6a

66411114 has 64 divisors (see below), whose sum is σ = 170975232. Its totient is φ = 16689600.

The previous prime is 66411109. The next prime is 66411119. The reversal of 66411114 is 41111466.

It is an interprime number because it is at equal distance from previous prime (66411109) and next prime (66411119).

It is not an unprimeable number, because it can be changed into a prime (66411119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12004 + ... + 16640.

It is an arithmetic number, because the mean of its divisors is an integer number (2671488).

Almost surely, 266411114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66411114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85487616).

66411114 is an abundant number, since it is smaller than the sum of its proper divisors (104564118).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

66411114 is a wasteful number, since it uses less digits than its factorization.

66411114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4691.

The product of its digits is 576, while the sum is 24.

The square root of 66411114 is about 8149.3014424551. The cubic root of 66411114 is about 404.9613619594.

The spelling of 66411114 in words is "sixty-six million, four hundred eleven thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 11 14 21 22 31 33 42 62 66 77 93 154 186 217 231 341 434 462 651 682 1023 1302 2046 2387 4637 4774 7161 9274 13911 14322 27822 32459 51007 64918 97377 102014 143747 153021 194754 287494 306042 357049 431241 714098 862482 1006229 1071147 1581217 2012458 2142294 3018687 3162434 4743651 6037374 9487302 11068519 22137038 33205557 66411114