Search a number
-
+
54146261166 = 23293197239433
BaseRepresentation
bin110010011011010111…
…100110000010101110
312011202112202001200020
4302123113212002232
51341342420324131
640512514143010
73624536424504
oct623327460256
9164675661606
1054146261166
1120a66175478
12a5b1581a66
13514ba815ba
142899278674
15161d8ab996
hexc9b5e60ae

54146261166 has 128 divisors (see below), whose sum is σ = 117592473600. Its totient is φ = 16582164480.

The previous prime is 54146261153. The next prime is 54146261167. The reversal of 54146261166 is 66116264145.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54146261167) 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, 125048886 + ... + 125049318.

It is an arithmetic number, because the mean of its divisors is an integer number (918691200).

Almost surely, 254146261166 is an apocalyptic number.

54146261166 is an abundant number, since it is smaller than the sum of its proper divisors (63446212434).

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

54146261166 is a wasteful number, since it uses less digits than its factorization.

54146261166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834.

The product of its digits is 207360, while the sum is 42.

The spelling of 54146261166 in words is "fifty-four billion, one hundred forty-six million, two hundred sixty-one thousand, one hundred sixty-six".

Divisors: 1 2 3 6 29 31 58 62 87 93 97 174 186 194 239 291 433 478 582 717 866 899 1299 1434 1798 2598 2697 2813 3007 5394 5626 6014 6931 7409 8439 9021 12557 13423 13862 14818 16878 18042 20793 22227 23183 25114 26846 37671 40269 41586 42001 44454 46366 69549 75342 80538 84002 87203 103487 126003 139098 174406 206974 214861 252006 261609 310461 389267 429722 523218 620922 644583 672307 718673 778534 1167801 1218029 1289166 1302031 1344614 1437346 2016921 2156019 2335602 2436058 2604062 3001123 3208097 3654087 3906093 4033842 4312038 6002246 6416194 7308174 7812186 9003369 9624291 10038239 18006738 19248582 20076478 20841517 30114717 37758899 41683034 60229434 62524551 75517798 93034813 113276697 125049102 186069626 226553394 279104439 291108931 311185409 558208878 582217862 622370818 873326793 933556227 1746653586 1867112454 9024376861 18048753722 27073130583 54146261166