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57145726287 = 33131713968899
BaseRepresentation
bin110101001110001001…
…101001010101001111
312110111120202200022000
4311032021221111033
51414013301220122
642130303123343
74062060441666
oct651611512517
9173446680260
1057145726287
11222652aaa71
12b0a9ba3553
135509309530
142aa1781ddd
151746d970ac
hexd4e26954f

57145726287 has 64 divisors (see below), whose sum is σ = 97231680000. Its totient is φ = 32859385344.

The previous prime is 57145726279. The next prime is 57145726291. The reversal of 57145726287 is 78262754175.

57145726287 is a `hidden beast` number, since 5 + 7 + 1 + 4 + 5 + 7 + 2 + 628 + 7 = 666.

It is not a de Polignac number, because 57145726287 - 23 = 57145726279 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57145726247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 794964 + ... + 863862.

It is an arithmetic number, because the mean of its divisors is an integer number (1519245000).

Almost surely, 257145726287 is an apocalyptic number.

57145726287 is a deficient number, since it is larger than the sum of its proper divisors (40085953713).

57145726287 is a wasteful number, since it uses less digits than its factorization.

57145726287 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69077 (or 69071 counting only the distinct ones).

The product of its digits is 6585600, while the sum is 54.

The spelling of 57145726287 in words is "fifty-seven billion, one hundred forty-five million, seven hundred twenty-six thousand, two hundred eighty-seven".

Divisors: 1 3 9 13 17 27 39 51 117 139 153 221 351 417 459 663 1251 1807 1989 2363 3753 5421 5967 7089 16263 21267 30719 48789 63801 68899 92157 206697 276471 620091 829413 895687 1171283 1860273 2687061 3513849 8061183 9576961 10541547 15226679 24183549 28730883 31624641 45680037 86192649 124500493 137040111 162808337 258577947 373501479 411120333 488425011 1120504437 1465275033 2116508381 3361513311 4395825099 6349525143 19048575429 57145726287