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66034518 = 231123411061
BaseRepresentation
bin1111101111100…
…1101101010110
311121020220022220
43323321231112
5113401101033
610315203210
71431166314
oct373715526
9147226286
1066034518
1134302790
121a146506
13108b08a4
148aad0b4
155be5bb3
hex3ef9b56

66034518 has 64 divisors (see below), whose sum is σ = 154151424. Its totient is φ = 18656000.

The previous prime is 66034517. The next prime is 66034523. The reversal of 66034518 is 81543066.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66034517) 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, 61708 + ... + 62768.

It is an arithmetic number, because the mean of its divisors is an integer number (2408616).

Almost surely, 266034518 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66034518, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77075712).

66034518 is an abundant number, since it is smaller than the sum of its proper divisors (88116906).

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

66034518 is a wasteful number, since it uses less digits than its factorization.

66034518 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141.

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 66034518 is about 8126.1625629814. The cubic root of 66034518 is about 404.1944420680.

The spelling of 66034518 in words is "sixty-six million, thirty-four thousand, five hundred eighteen".

Divisors: 1 2 3 6 11 22 23 33 41 46 66 69 82 123 138 246 253 451 506 759 902 943 1061 1353 1518 1886 2122 2706 2829 3183 5658 6366 10373 11671 20746 23342 24403 31119 35013 43501 48806 62238 70026 73209 87002 130503 146418 261006 268433 478511 536866 805299 957022 1000523 1435533 1610598 2001046 2871066 3001569 6003138 11005753 22011506 33017259 66034518