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66454504857 = 3213171391571531
BaseRepresentation
bin111101111000111111…
…110100010110011001
320100112022212121212200
4331320333310112121
52042044323123412
650310114400413
74541542654056
oct757077642631
9210468777780
1066454504857
11262019210a4
1210a67590109
136360a3c230
143305bb402d
151ade2189dc
hexf78ff4599

66454504857 has 96 divisors (see below), whose sum is σ = 111016563840. Its totient is φ = 37944391680.

The previous prime is 66454504841. The next prime is 66454504931. The reversal of 66454504857 is 75840545466.

66454504857 is a `hidden beast` number, since 6 + 6 + 4 + 54 + 504 + 85 + 7 = 666.

It is not a de Polignac number, because 66454504857 - 24 = 66454504841 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (66454505857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43405182 + ... + 43406712.

It is an arithmetic number, because the mean of its divisors is an integer number (1156422540).

Almost surely, 266454504857 is an apocalyptic number.

It is an amenable number.

66454504857 is a deficient number, since it is larger than the sum of its proper divisors (44562058983).

66454504857 is a wasteful number, since it uses less digits than its factorization.

66454504857 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1863 (or 1860 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 54.

The spelling of 66454504857 in words is "sixty-six billion, four hundred fifty-four million, five hundred four thousand, eight hundred fifty-seven".

Divisors: 1 3 9 13 17 39 51 117 139 153 157 221 417 471 663 1251 1413 1531 1807 1989 2041 2363 2669 4593 5421 6123 7089 8007 13779 16263 18369 19903 21267 21823 24021 26027 30719 34697 59709 65469 78081 92157 104091 179127 196407 212809 234243 240367 276471 283699 312273 338351 370991 638427 721101 851097 1015053 1112973 1915281 2163303 2553291 2766517 3045159 3124771 3338919 3617753 4086239 4822883 8299551 9374313 10853259 12258717 14468649 24898653 28122939 32559777 33411013 36776151 43405947 47030789 53121107 100233039 141092367 159363321 300699117 423277101 434343169 478089963 567987221 1303029507 1703961663 3909088521 5111884989 7383833873 22151501619 66454504857