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66136664 = 23112174019
BaseRepresentation
bin1111110001001…
…0101001011000
311121110002110002
43330102221120
5113412333124
610321312132
71432103156
oct374225130
9147402402
1066136664
1134372500
121a195648
1310918229
148ad83d6
155c160ae
hex3f12a58

66136664 has 48 divisors (see below), whose sum is σ = 144358200. Its totient is φ = 28286720.

The previous prime is 66136657. The next prime is 66136669. The reversal of 66136664 is 46663166.

66136664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66136669) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 14447 + ... + 18465.

Almost surely, 266136664 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 66136664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72179100).

66136664 is an abundant number, since it is smaller than the sum of its proper divisors (78221536).

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

66136664 is a wasteful number, since it uses less digits than its factorization.

66136664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4064 (or 4049 counting only the distinct ones).

The product of its digits is 93312, while the sum is 38.

The square root of 66136664 is about 8132.4451427600. The cubic root of 66136664 is about 404.4027451228.

The spelling of 66136664 in words is "sixty-six million, one hundred thirty-six thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 121 136 187 242 374 484 748 968 1496 2057 4019 4114 8038 8228 16076 16456 32152 44209 68323 88418 136646 176836 273292 353672 486299 546584 751553 972598 1503106 1945196 3006212 3890392 6012424 8267083 16534166 33068332 66136664