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66505104 = 2433153947
BaseRepresentation
bin1111110110110…
…0100110010000
311122010210212000
43331230212100
5114011130404
610333234000
71435166301
oct375544620
9148123760
1066505104
11345a42a6
121a332900
1310a16b43
148b927a8
155c8a339
hex3f6c990

66505104 has 40 divisors (see below), whose sum is σ = 190895520. Its totient is φ = 22168224.

The previous prime is 66505099. The next prime is 66505147. The reversal of 66505104 is 40150566.

It is a happy number.

66505104 is a `hidden beast` number, since 6 + 650 + 5 + 1 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76542 + ... + 77405.

It is an arithmetic number, because the mean of its divisors is an integer number (4772388).

Almost surely, 266505104 is an apocalyptic number.

It is an amenable number.

66505104 is an abundant number, since it is smaller than the sum of its proper divisors (124390416).

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

66505104 is a wasteful number, since it uses less digits than its factorization.

66505104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153964 (or 153952 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 66505104 is about 8155.0661554643. The cubic root of 66505104 is about 405.1523158225.

The spelling of 66505104 in words is "sixty-six million, five hundred five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 153947 307894 461841 615788 923682 1231576 1385523 1847364 2463152 2771046 3694728 4156569 5542092 7389456 8313138 11084184 16626276 22168368 33252552 66505104