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66413358 = 2361141101
BaseRepresentation
bin1111110101011…
…0001100101110
311121222011000000
43331112030232
5114000211413
610331245130
71434334644
oct375261456
9147864000
1066413358
1134541380
121a2a97a6
13109b415b
148b6b194
155c6d073
hex3f5632e

66413358 has 112 divisors (see below), whose sum is σ = 168566832. Its totient is φ = 19440000.

The previous prime is 66413357. The next prime is 66413359. The reversal of 66413358 is 85331466.

66413358 is a `hidden beast` number, since 6 + 641 + 3 + 3 + 5 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (66413357) and next prime (66413359).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66413357) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 657508 + ... + 657608.

It is an arithmetic number, because the mean of its divisors is an integer number (1505061).

Almost surely, 266413358 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66413358, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84283416).

66413358 is an abundant number, since it is smaller than the sum of its proper divisors (102153474).

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

66413358 is a wasteful number, since it uses less digits than its factorization.

66413358 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 158 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 66413358 is about 8149.4391218046. The cubic root of 66413358 is about 404.9659230588.

It can be divided in two parts, 6641 and 3358, that added together give a palindrome (9999).

The spelling of 66413358 in words is "sixty-six million, four hundred thirteen thousand, three hundred fifty-eight".

Divisors: 1 2 3 6 9 11 18 22 27 33 41 54 66 81 82 99 101 123 162 198 202 243 246 297 303 369 451 486 594 606 729 738 891 902 909 1107 1111 1353 1458 1782 1818 2214 2222 2673 2706 2727 3321 3333 4059 4141 5346 5454 6642 6666 8019 8118 8181 8282 9963 9999 12177 12423 16038 16362 19926 19998 24354 24543 24846 29889 29997 36531 37269 45551 49086 59778 59994 73062 73629 74538 89991 91102 109593 111807 136653 147258 179982 219186 223614 269973 273306 328779 335421 409959 539946 657558 670842 809919 819918 1006263 1229877 1619838 2012526 2459754 3018789 3689631 6037578 7379262 11068893 22137786 33206679 66413358