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66618126 = 2341912153
BaseRepresentation
bin1111111000100…
…0001100001110
311122100112220000
43332020030032
5114023240001
610335505130
71436146641
oct376101416
9148315800
1066618126
1134671203
121a3881a6
1310a56413
148bc1a58
155cada86
hex3f8830e

66618126 has 40 divisors (see below), whose sum is σ = 150125184. Its totient is φ = 22079520.

The previous prime is 66618109. The next prime is 66618127. The reversal of 66618126 is 62181666.

66618126 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66618127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 29866 + ... + 32018.

Almost surely, 266618126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66618126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75062592).

66618126 is an abundant number, since it is smaller than the sum of its proper divisors (83507058).

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

66618126 is a wasteful number, since it uses less digits than its factorization.

66618126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2358 (or 2349 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 66618126 is about 8161.9927713764. The cubic root of 66618126 is about 405.3816977639.

The spelling of 66618126 in words is "sixty-six million, six hundred eighteen thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 191 382 573 1146 1719 2153 3438 4306 5157 6459 10314 12918 15471 19377 30942 38754 58131 116262 174393 348786 411223 822446 1233669 2467338 3701007 7402014 11103021 22206042 33309063 66618126