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66345912 = 23331811697
BaseRepresentation
bin1111110100010…
…1101110111000
311121211201111000
43331011232320
5113441032122
610330005000
71433634213
oct375055670
9147751430
1066345912
11344a5736
121a276760
131098c549
148b5077a
155c580ac
hex3f45bb8

66345912 has 64 divisors (see below), whose sum is σ = 185421600. Its totient is φ = 21980160.

The previous prime is 66345911. The next prime is 66345919. The reversal of 66345912 is 21954366.

It is a happy number.

66345912 is a `hidden beast` number, since 6 + 63 + 4 + 591 + 2 = 666.

It is a super-3 number, since 3×663459123 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66345911) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38248 + ... + 39944.

Almost surely, 266345912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66345912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92710800).

66345912 is an abundant number, since it is smaller than the sum of its proper divisors (119075688).

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

66345912 is a wasteful number, since it uses less digits than its factorization.

66345912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1893 (or 1883 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 66345912 is about 8145.2999944753. The cubic root of 66345912 is about 404.8287890860.

The spelling of 66345912 in words is "sixty-six million, three hundred forty-five thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 181 216 362 543 724 1086 1448 1629 1697 2172 3258 3394 4344 4887 5091 6516 6788 9774 10182 13032 13576 15273 19548 20364 30546 39096 40728 45819 61092 91638 122184 183276 307157 366552 614314 921471 1228628 1842942 2457256 2764413 3685884 5528826 7371768 8293239 11057652 16586478 22115304 33172956 66345912