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66505464 = 2332923687
BaseRepresentation
bin1111110110110…
…0101011111000
311122010211100100
43331230223320
5114011133324
610333235400
71435200324
oct375545370
9148124310
1066505464
11345a45a3
121a332b60
1310a1705c
148b92984
155c8a4c9
hex3f6caf8

66505464 has 24 divisors (see below), whose sum is σ = 180119160. Its totient is φ = 22168464.

The previous prime is 66505457. The next prime is 66505471. The reversal of 66505464 is 46450566.

It is a happy number.

66505464 is a `hidden beast` number, since 66 + 50 + 546 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (66505457) and next prime (66505471).

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 461772 + ... + 461915.

It is an arithmetic number, because the mean of its divisors is an integer number (7504965).

Almost surely, 266505464 is an apocalyptic number.

It is an amenable number.

66505464 is an abundant number, since it is smaller than the sum of its proper divisors (113613696).

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

66505464 is a wasteful number, since it uses less digits than its factorization.

66505464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923699 (or 923692 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 66505464 is about 8155.0882276037. The cubic root of 66505464 is about 405.1530468669.

The spelling of 66505464 in words is "sixty-six million, five hundred five thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 923687 1847374 2771061 3694748 5542122 7389496 8313183 11084244 16626366 22168488 33252732 66505464