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465668505 = 325171913187
BaseRepresentation
bin11011110000011…
…000100110011001
31012110020102002200
4123300120212121
51423202343010
6114112520413
714353055061
oct3360304631
91173212080
10465668505
11219948705
1210bb50109
13756246c3
1445bba3a1
152ad35cc0
hex1bc18999

465668505 has 48 divisors (see below), whose sum is σ = 859382784. Its totient is φ = 232450560.

The previous prime is 465668501. The next prime is 465668507. The reversal of 465668505 is 505866564.

It is a happy number.

465668505 is a `hidden beast` number, since 4 + 6 + 566 + 85 + 0 + 5 = 666.

It is not a de Polignac number, because 465668505 - 22 = 465668501 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (465668501) 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, 144522 + ... + 147708.

It is an arithmetic number, because the mean of its divisors is an integer number (17903808).

Almost surely, 2465668505 is an apocalyptic number.

465668505 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

465668505 is a deficient number, since it is larger than the sum of its proper divisors (393714279).

465668505 is a wasteful number, since it uses less digits than its factorization.

465668505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3406 (or 3403 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The square root of 465668505 is about 21579.3536742878. The cubic root of 465668505 is about 775.1021745275.

The spelling of 465668505 in words is "four hundred sixty-five million, six hundred sixty-eight thousand, five hundred five".

Divisors: 1 3 5 9 15 17 45 51 85 153 191 255 573 765 955 1719 2865 3187 3247 8595 9561 9741 15935 16235 28683 29223 47805 48705 54179 143415 146115 162537 270895 487611 608717 812685 1826151 2438055 3043585 5478453 9130755 10348189 27392265 31044567 51740945 93133701 155222835 465668505