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66355304886 = 232133128332323
BaseRepresentation
bin111101110011000101…
…011001100110110110
320100021102012202002200
4331303011121212312
52041343424224021
650252212245330
74536226533243
oct756305314666
9210242182080
1066355304886
1126160926752
1210a3a310846
136346318920
1432d69505ca
151ad5671126
hexf731599b6

66355304886 has 96 divisors (see below), whose sum is σ = 160393239552. Its totient is φ = 19687976640.

The previous prime is 66355304861. The next prime is 66355304887. The reversal of 66355304886 is 68840355366.

It is a happy number.

66355304886 is a `hidden beast` number, since 6 + 6 + 3 + 553 + 0 + 4 + 8 + 86 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66355304887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2036721 + ... + 2069043.

It is an arithmetic number, because the mean of its divisors is an integer number (1670762912).

Almost surely, 266355304886 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66355304886, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80196619776).

66355304886 is an abundant number, since it is smaller than the sum of its proper divisors (94037934666).

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

66355304886 is a wasteful number, since it uses less digits than its factorization.

66355304886 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32658 (or 32655 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 66355304886 in words is "sixty-six billion, three hundred fifty-five million, three hundred four thousand, eight hundred eighty-six".

Divisors: 1 2 3 6 9 13 18 26 31 39 62 78 93 117 186 234 279 283 403 558 566 806 849 1209 1698 2418 2547 3627 3679 5094 7254 7358 8773 11037 17546 22074 26319 32323 33111 52638 64646 66222 78957 96969 114049 157914 193938 228098 290907 342147 420199 581814 684294 840398 1002013 1026441 1260597 2004026 2052882 2521194 3006039 3781791 6012078 7563582 9018117 9147409 13026169 18036234 18294818 26052338 27442227 39078507 54884454 78157014 82326681 117235521 118916317 164653362 234471042 237832634 283569679 356748951 567139358 713497902 850709037 1070246853 1701418074 2140493706 2552127111 3686405827 5104254222 7372811654 11059217481 22118434962 33177652443 66355304886