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66150162 = 233131723241
BaseRepresentation
bin1111110001010…
…1111100010010
311121110202222000
43330111330102
5113413301122
610321454430
71432160421
oct374257422
9147422860
1066150162
1134381661
121a1a1416
1310921410
148add2b8
155c1a0ac
hex3f15f12

66150162 has 128 divisors (see below), whose sum is σ = 175633920. Its totient is φ = 18247680.

The previous prime is 66150143. The next prime is 66150173. The reversal of 66150162 is 26105166.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 274362 + ... + 274602.

It is an arithmetic number, because the mean of its divisors is an integer number (1372140).

Almost surely, 266150162 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66150162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87816960).

66150162 is an abundant number, since it is smaller than the sum of its proper divisors (109483758).

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

66150162 is a wasteful number, since it uses less digits than its factorization.

66150162 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 66150162 is about 8133.2749861295. The cubic root of 66150162 is about 404.4302551130.

The spelling of 66150162 in words is "sixty-six million, one hundred fifty thousand, one hundred sixty-two".

Divisors: 1 2 3 6 9 13 17 18 23 26 27 34 39 46 51 54 69 78 102 117 138 153 207 221 234 241 299 306 351 391 414 442 459 482 598 621 663 702 723 782 897 918 1173 1242 1326 1446 1794 1989 2169 2346 2691 3133 3519 3978 4097 4338 5083 5382 5543 5967 6266 6507 7038 8073 8194 9399 10166 10557 11086 11934 12291 13014 15249 16146 16629 18798 21114 24582 28197 30498 33258 36873 45747 49887 53261 56394 72059 73746 84591 91494 94231 99774 106522 110619 137241 144118 149661 159783 169182 188462 216177 221238 274482 282693 299322 319566 432354 479349 565386 648531 848079 958698 1225003 1297062 1438047 1696158 1945593 2450006 2544237 2876094 3675009 3891186 5088474 7350018 11025027 22050054 33075081 66150162