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66277644 = 22329227839
BaseRepresentation
bin1111110011010…
…1000100001100
311121201020211120
43330311010030
5113431341034
610324320540
71433231166
oct374650414
9147636746
1066277644
1134459414
121a243150
1310967454
148b33936
155c42c49
hex3f3510c

66277644 has 48 divisors (see below), whose sum is σ = 160876800. Its totient is φ = 21211456.

The previous prime is 66277633. The next prime is 66277667. The reversal of 66277644 is 44677266.

66277644 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 66277596 and 66277605.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78577 + ... + 79415.

It is an arithmetic number, because the mean of its divisors is an integer number (3351600).

Almost surely, 266277644 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 66277644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80438400).

66277644 is an abundant number, since it is smaller than the sum of its proper divisors (94599156).

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

66277644 is a wasteful number, since it uses less digits than its factorization.

66277644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102 (or 1100 counting only the distinct ones).

The product of its digits is 338688, while the sum is 42.

The square root of 66277644 is about 8141.1082783611. The cubic root of 66277644 is about 404.6898891120.

The spelling of 66277644 in words is "sixty-six million, two hundred seventy-seven thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 227 348 454 681 839 908 1362 1678 2517 2724 3356 5034 6583 10068 13166 19749 24331 26332 39498 48662 72993 78996 97324 145986 190453 291972 380906 571359 761812 1142718 2285436 5523137 11046274 16569411 22092548 33138822 66277644