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66487005 = 32513891277
BaseRepresentation
bin1111110110100…
…0001011011101
311122002220000200
43331220023131
5114010041010
610333014113
71435062444
oct375501335
9148086020
1066487005
1134591742
121a324339
1310a0b830
148b89d5b
155c84cc0
hex3f682dd

66487005 has 48 divisors (see below), whose sum is σ = 125601840. Its totient is φ = 32338944.

The previous prime is 66486991. The next prime is 66487009. The reversal of 66487005 is 50078466.

It is a happy number.

66487005 is a `hidden beast` number, since 6 + 648 + 7 + 0 + 0 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 7918596 + 58568409 = 2814^2 + 7653^2 .

It is not a de Polignac number, because 66487005 - 26 = 66486941 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66487009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51427 + ... + 52703.

It is an arithmetic number, because the mean of its divisors is an integer number (2616705).

Almost surely, 266487005 is an apocalyptic number.

66487005 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

66487005 is a deficient number, since it is larger than the sum of its proper divisors (59114835).

66487005 is a wasteful number, since it uses less digits than its factorization.

66487005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390 (or 1387 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 66487005 is about 8153.9564016494. The cubic root of 66487005 is about 405.1155591596.

The spelling of 66487005 in words is "sixty-six million, four hundred eighty-seven thousand, five".

Divisors: 1 3 5 9 13 15 39 45 65 89 117 195 267 445 585 801 1157 1277 1335 3471 3831 4005 5785 6385 10413 11493 16601 17355 19155 49803 52065 57465 83005 113653 149409 249015 340959 568265 747045 1022877 1477489 1704795 4432467 5114385 7387445 13297401 22162335 66487005