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66431196 = 223213261179
BaseRepresentation
bin1111110101101…
…0100011011100
311122000001110200
43331122203130
5114001244241
610331503500
71434440646
oct375324334
9148001420
1066431196
1134553817
121a2b7b90
13109bc300
148b73896
155c734b6
hex3f5a8dc

66431196 has 108 divisors (see below), whose sum is σ = 185847480. Its totient is φ = 19992960.

The previous prime is 66431177. The next prime is 66431219. The reversal of 66431196 is 69113466.

66431196 is a `hidden beast` number, since 6 + 643 + 1 + 1 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 66431196.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 371035 + ... + 371213.

It is an arithmetic number, because the mean of its divisors is an integer number (1720810).

Almost surely, 266431196 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 66431196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92923740).

66431196 is an abundant number, since it is smaller than the sum of its proper divisors (119416284).

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

66431196 is a wasteful number, since it uses less digits than its factorization.

66431196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 258 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 66431196 is about 8150.5334794724. The cubic root of 66431196 is about 405.0021764858.

The spelling of 66431196 in words is "sixty-six million, four hundred thirty-one thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 61 78 117 122 156 169 179 183 234 244 338 358 366 468 507 537 549 676 716 732 793 1014 1074 1098 1521 1586 1611 2028 2148 2196 2327 2379 3042 3172 3222 4654 4758 6084 6444 6981 7137 9308 9516 10309 10919 13962 14274 20618 20943 21838 27924 28548 30251 30927 32757 41236 41886 43676 60502 61854 65514 83772 90753 92781 98271 121004 123708 131028 141947 181506 185562 196542 272259 283894 363012 371124 393084 425841 544518 567788 851682 1089036 1277523 1703364 1845311 2555046 3690622 5110092 5535933 7381244 11071866 16607799 22143732 33215598 66431196