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66143124 = 2232172337127
BaseRepresentation
bin1111110001010…
…0001110010100
311121110102022100
43330110032110
5113413034444
610321402100
71432131045
oct374241624
9147412270
1066143124
1134377343
121a199330
131091b158
148ada8cc
155c17e69
hex3f14394

66143124 has 144 divisors (see below), whose sum is σ = 191213568. Its totient is φ = 19160064.

The previous prime is 66143117. The next prime is 66143177. The reversal of 66143124 is 42134166.

66143124 is nontrivially palindromic in base 11.

66143124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 47 ways as a sum of consecutive naturals, for example, 520749 + ... + 520875.

It is an arithmetic number, because the mean of its divisors is an integer number (1327872).

Almost surely, 266143124 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 66143124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95606784).

66143124 is an abundant number, since it is smaller than the sum of its proper divisors (125070444).

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

66143124 is a wasteful number, since it uses less digits than its factorization.

66143124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 209 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 66143124 is about 8132.8423075823. The cubic root of 66143124 is about 404.4159115800.

The spelling of 66143124 in words is "sixty-six million, one hundred forty-three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 17 18 23 34 36 37 46 51 68 69 74 92 102 111 127 138 148 153 204 207 222 254 276 306 333 381 391 414 444 508 612 629 666 762 782 828 851 1143 1173 1258 1332 1524 1564 1702 1887 2159 2286 2346 2516 2553 2921 3404 3519 3774 4318 4572 4692 4699 5106 5661 5842 6477 7038 7548 7659 8636 8763 9398 10212 11322 11684 12954 14076 14097 14467 15318 17526 18796 19431 22644 25908 26289 28194 28934 30636 35052 38862 42291 43401 49657 52578 56388 57868 77724 79883 84582 86802 99314 105156 108077 130203 148971 159766 169164 173604 198628 216154 239649 260406 297942 319532 324231 432308 446913 479298 520812 595884 648462 718947 893826 958596 972693 1296924 1437894 1787652 1837309 1945386 2875788 3674618 3890772 5511927 7349236 11023854 16535781 22047708 33071562 66143124