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66136464 = 24323712413
BaseRepresentation
bin1111110001001…
…0100110010000
311121110002011200
43330102212100
5113412331324
610321311200
71432102452
oct374224620
9147402150
1066136464
1134372339
121a195500
1310918104
148ad82d2
155c15ec9
hex3f12990

66136464 has 60 divisors (see below), whose sum is σ = 190107996. Its totient is φ = 21447936.

The previous prime is 66136459. The next prime is 66136471. The reversal of 66136464 is 46463166.

66136464 is a `hidden beast` number, since 6 + 6 + 1 + 3 + 646 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 41216400 + 24920064 = 6420^2 + 4992^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 879 + ... + 11534.

Almost surely, 266136464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66136464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95053998).

66136464 is an abundant number, since it is smaller than the sum of its proper divisors (123971532).

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

66136464 is a wasteful number, since it uses less digits than its factorization.

66136464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12464 (or 12455 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 66136464 is about 8132.4328463259. The cubic root of 66136464 is about 404.4023374788.

The spelling of 66136464 in words is "sixty-six million, one hundred thirty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 1332 1776 2664 5328 12413 24826 37239 49652 74478 99304 111717 148956 198608 223434 297912 446868 459281 595824 893736 918562 1377843 1787472 1837124 2755686 3674248 4133529 5511372 7348496 8267058 11022744 16534116 22045488 33068232 66136464