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57166541334 = 23272971220351
BaseRepresentation
bin110101001111011001…
…000011001000010110
312110120000221012011200
4311033121003020112
51414034113310314
642132325213330
74062432404160
oct651731031026
9173500835150
1057166541334
1122276027691
12b0b4b61246
135510716926
142aa443d930
151748b09709
hexd4f643216

57166541334 has 96 divisors (see below), whose sum is σ = 148499619840. Its totient is φ = 15547896000.

The previous prime is 57166541303. The next prime is 57166541351. The reversal of 57166541334 is 43314566175.

57166541334 is a `hidden beast` number, since 5 + 71 + 6 + 6 + 541 + 3 + 34 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 57166541334.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 149259 + ... + 369609.

It is an arithmetic number, because the mean of its divisors is an integer number (1546871040).

Almost surely, 257166541334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57166541334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74249809920).

57166541334 is an abundant number, since it is smaller than the sum of its proper divisors (91333078506).

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

57166541334 is a wasteful number, since it uses less digits than its factorization.

57166541334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220466 (or 220463 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The spelling of 57166541334 in words is "fifty-seven billion, one hundred sixty-six million, five hundred forty-one thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 58 63 71 87 126 142 174 203 213 261 406 426 497 522 609 639 994 1218 1278 1491 1827 2059 2982 3654 4118 4473 6177 8946 12354 14413 18531 28826 37062 43239 86478 129717 220351 259434 440702 661053 1322106 1542457 1983159 3084914 3966318 4627371 6390179 9254742 12780358 13882113 15644921 19170537 27764226 31289842 38341074 44731253 46934763 57511611 89462506 93869526 109514447 115023222 134193759 140804289 219028894 268387518 281608578 328543341 402581277 453702709 657086682 805162554 907405418 985630023 1361108127 1971260046 2722216254 3175918963 4083324381 6351837926 8166648762 9527756889 19055513778 28583270667 57166541334