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66182316 = 22323613931
BaseRepresentation
bin1111110001110…
…1110010101100
311121112102001220
43330131302230
5113420313231
610322303340
71432353234
oct374356254
9147472056
1066182316
11343a3832
121a1b7b50
1310932c45
148b0acc4
155c24896
hex3f1dcac

66182316 has 48 divisors (see below), whose sum is σ = 163822848. Its totient is φ = 20750400.

The previous prime is 66182299. The next prime is 66182327. The reversal of 66182316 is 61328166.

It is a super-2 number, since 2×661823162 = 8760197902247712, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14871 + ... + 18801.

It is an arithmetic number, because the mean of its divisors is an integer number (3412976).

Almost surely, 266182316 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 66182316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81911424).

66182316 is an abundant number, since it is smaller than the sum of its proper divisors (97640532).

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

66182316 is a wasteful number, since it uses less digits than its factorization.

66182316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4022 (or 4020 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 66182316 is about 8135.2514404903. The cubic root of 66182316 is about 404.4957724330.

The spelling of 66182316 in words is "sixty-six million, one hundred eighty-two thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 12 23 46 61 69 92 122 138 183 244 276 366 732 1403 2806 3931 4209 5612 7862 8418 11793 15724 16836 23586 47172 90413 180826 239791 271239 361652 479582 542478 719373 959164 1084956 1438746 2877492 5515193 11030386 16545579 22060772 33091158 66182316