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66313656 = 23325711613
BaseRepresentation
bin1111110011110…
…1110110111000
311121210002020100
43330331312320
5113434014111
610325155400
71433441163
oct374756670
9147702210
1066313656
1134483482
121a25bb60
131097a966
148b42ada
155c4d756
hex3f3ddb8

66313656 has 48 divisors (see below), whose sum is σ = 180025560. Its totient is φ = 22052160.

The previous prime is 66313603. The next prime is 66313673. The reversal of 66313656 is 65631366.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 66313656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40306 + ... + 41918.

Almost surely, 266313656 is an apocalyptic number.

It is an amenable number.

66313656 is an abundant number, since it is smaller than the sum of its proper divisors (113711904).

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

66313656 is a wasteful number, since it uses less digits than its factorization.

66313656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2196 (or 2189 counting only the distinct ones).

The product of its digits is 58320, while the sum is 36.

The square root of 66313656 is about 8143.3197161845. The cubic root of 66313656 is about 404.7631720103.

The spelling of 66313656 in words is "sixty-six million, three hundred thirteen thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 571 1142 1613 1713 2284 3226 3426 4568 4839 5139 6452 6852 9678 10278 12904 13704 14517 19356 20556 29034 38712 41112 58068 116136 921023 1842046 2763069 3684092 5526138 7368184 8289207 11052276 16578414 22104552 33156828 66313656