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66414612 = 223113371493
BaseRepresentation
bin1111110101011…
…0100000010100
311121222012201110
43331112200110
5114000231422
610331255020
71434341415
oct375264024
9147865643
1066414612
1134542310
121a2aa470
13109b48b4
148b6b80c
155c6d60c
hex3f56814

66414612 has 48 divisors (see below), whose sum is σ = 169670592. Its totient is φ = 20052480.

The previous prime is 66414583. The next prime is 66414637. The reversal of 66414612 is 21641466.

66414612 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×664146122 = 8821801374221088, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 66414612.

It is a congruent number.

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, 43738 + ... + 45230.

It is an arithmetic number, because the mean of its divisors is an integer number (3534804).

Almost surely, 266414612 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 66414612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84835296).

66414612 is an abundant number, since it is smaller than the sum of its proper divisors (103255980).

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

66414612 is a wasteful number, since it uses less digits than its factorization.

66414612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1848 (or 1846 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 66414612 is about 8149.5160592516. The cubic root of 66414612 is about 404.9684718636.

The spelling of 66414612 in words is "sixty-six million, four hundred fourteen thousand, six hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 337 674 1011 1348 1493 2022 2986 3707 4044 4479 5972 7414 8958 11121 14828 16423 17916 22242 32846 44484 49269 65692 98538 197076 503141 1006282 1509423 2012564 3018846 5534551 6037692 11069102 16603653 22138204 33207306 66414612