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66495975 = 3527139743
BaseRepresentation
bin1111110110101…
…0010111100111
311122010100022220
43331222113213
5114010332400
610333123423
71435130550
oct375522747
9148110286
1066495975
1134598457
121a329573
1310a12940
148b8d327
155c877a0
hex3f6a5e7

66495975 has 48 divisors (see below), whose sum is σ = 135324672. Its totient is φ = 28056960.

The previous prime is 66495943. The next prime is 66495977. The reversal of 66495975 is 57959466.

It is not a de Polignac number, because 66495975 - 25 = 66495943 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66495977) 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, 1954 + ... + 11696.

It is an arithmetic number, because the mean of its divisors is an integer number (2819264).

Almost surely, 266495975 is an apocalyptic number.

66495975 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

66495975 is an abundant number, since it is smaller than the sum of its proper divisors (68828697).

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

66495975 is a wasteful number, since it uses less digits than its factorization.

66495975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9776 (or 9771 counting only the distinct ones).

The product of its digits is 2041200, while the sum is 51.

The square root of 66495975 is about 8154.5064228315. The cubic root of 66495975 is about 405.1337768707.

The spelling of 66495975 in words is "sixty-six million, four hundred ninety-five thousand, nine hundred seventy-five".

Divisors: 1 3 5 7 13 15 21 25 35 39 65 75 91 105 175 195 273 325 455 525 975 1365 2275 6825 9743 29229 48715 68201 126659 146145 204603 243575 341005 379977 633295 730725 886613 1023015 1705025 1899885 2659839 3166475 4433065 5115075 9499425 13299195 22165325 66495975