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66104514 = 23272979229
BaseRepresentation
bin1111110000101…
…0110011000010
311121101110100100
43330022303002
5113410321024
610320503230
71431610350
oct374126302
9147343310
1066104514
1134350333
121a17ab16
13109066c8
148aca7d0
155c0b7c9
hex3f0acc2

66104514 has 96 divisors (see below), whose sum is σ = 172224000. Its totient is φ = 17926272.

The previous prime is 66104509. The next prime is 66104531. The reversal of 66104514 is 41540166.

66104514 is a `hidden beast` number, since 6 + 610 + 45 + 1 + 4 = 666.

66104514 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 288552 + ... + 288780.

It is an arithmetic number, because the mean of its divisors is an integer number (1794000).

Almost surely, 266104514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66104514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86112000).

66104514 is an abundant number, since it is smaller than the sum of its proper divisors (106119486).

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

66104514 is a wasteful number, since it uses less digits than its factorization.

66104514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 66104514 is about 8130.4682521980. The cubic root of 66104514 is about 404.3372058047.

The spelling of 66104514 in words is "sixty-six million, one hundred four thousand, five hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 58 63 79 87 126 158 174 203 229 237 261 406 458 474 522 553 609 687 711 1106 1218 1374 1422 1603 1659 1827 2061 2291 3206 3318 3654 4122 4582 4809 4977 6641 6873 9618 9954 13282 13746 14427 16037 18091 19923 20619 28854 32074 36182 39846 41238 46487 48111 54273 59769 92974 96222 108546 119538 126637 139461 144333 162819 253274 278922 288666 325638 379911 418383 524639 759822 836766 1049278 1139733 1573917 2279466 3147834 3672473 4721751 7344946 9443502 11017419 22034838 33052257 66104514