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45679541505 = 35132191396823
BaseRepresentation
bin101010100010101101…
…100111110100000001
311100220111010010202120
4222202231213310001
51222022430312010
632552423034453
73204660460563
oct524255476401
9140814103676
1045679541505
1118410a016a4
128a29b9ba29
1343cc939500
1422d49dd333
1512c541de70
hexaa2b67d01

45679541505 has 96 divisors (see below), whose sum is σ = 83918822400. Its totient is φ = 21148418304.

The previous prime is 45679541497. The next prime is 45679541527. The reversal of 45679541505 is 50514597654.

It is not a de Polignac number, because 45679541505 - 23 = 45679541497 is a prime.

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 95 ways as a sum of consecutive naturals, for example, 6691524 + ... + 6698346.

It is an arithmetic number, because the mean of its divisors is an integer number (874154400).

Almost surely, 245679541505 is an apocalyptic number.

It is an amenable number.

45679541505 is a deficient number, since it is larger than the sum of its proper divisors (38239280895).

45679541505 is a wasteful number, since it uses less digits than its factorization.

45679541505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7015 (or 7002 counting only the distinct ones).

The product of its (nonzero) digits is 3780000, while the sum is 51.

The spelling of 45679541505 in words is "forty-five billion, six hundred seventy-nine million, five hundred forty-one thousand, five hundred five".

Divisors: 1 3 5 13 15 19 39 57 65 95 139 169 195 247 285 417 507 695 741 845 1235 1807 2085 2535 2641 3211 3705 5421 6823 7923 9035 9633 13205 16055 20469 23491 27105 34115 34333 39615 48165 70473 88699 102345 102999 117455 129637 171665 266097 352365 388911 443495 446329 514995 648185 948397 1153087 1330485 1338987 1685281 1944555 2231645 2845191 3459261 4741985 5055843 5765435 6694935 8426405 12329161 14225955 17296305 18019543 21908653 25279215 36987483 54058629 61645805 65725959 90097715 109543265 160279093 184937415 234254059 270293145 328629795 480837279 702762177 801395465 1171270295 2404186395 3045302767 3513810885 9135908301 15226513835 45679541505