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66013461 = 345315377
BaseRepresentation
bin1111101111010…
…0100100010101
311121012211110000
43323310210111
5113344412321
610314521513
71431051033
oct373644425
9147184400
1066013461
1134298988
121a136299
13108a4127
148aa5553
155bde826
hex3ef4915

66013461 has 20 divisors (see below), whose sum is σ = 100479852. Its totient is φ = 43175808.

The previous prime is 66013417. The next prime is 66013481. The reversal of 66013461 is 16431066.

It can be written as a sum of positive squares in 2 ways, for example, as 60746436 + 5267025 = 7794^2 + 2295^2 .

It is not a de Polignac number, because 66013461 - 221 = 63916309 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66013411) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3396 + ... + 11981.

Almost surely, 266013461 is an apocalyptic number.

It is an amenable number.

66013461 is a deficient number, since it is larger than the sum of its proper divisors (34466391).

66013461 is a wasteful number, since it uses less digits than its factorization.

66013461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15442 (or 15433 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 66013461 is about 8124.8668296779. The cubic root of 66013461 is about 404.1514745036.

The spelling of 66013461 in words is "sixty-six million, thirteen thousand, four hundred sixty-one".

Divisors: 1 3 9 27 53 81 159 477 1431 4293 15377 46131 138393 415179 814981 1245537 2444943 7334829 22004487 66013461