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42454769148855 = 345730194960327
BaseRepresentation
bin10011010011100110001010…
…11011110010001110110111
312120022122011212011021020000
421221303011123302032313
521031034331400230410
6230143241322242343
711641153520403450
oct1151630533621667
9176278155137200
1042454769148855
1112588a6a433438
1249180283563b3
131a8c61029bc4b
14a6ab70dca127
154d952c9dddc0
hex269cc56f23b7

42454769148855 has 80 divisors (see below), whose sum is σ = 87004946772480. Its totient is φ = 19401461972928.

The previous prime is 42454769148821. The next prime is 42454769148859. The reversal of 42454769148855 is 55884196745424.

42454769148855 is a `hidden beast` number, since 4 + 2 + 4 + 5 + 4 + 7 + 6 + 91 + 488 + 55 = 666.

It is not a de Polignac number, because 42454769148855 - 26 = 42454769148791 is a prime.

It is a super-2 number, since 2×424547691488552 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42454769148859) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6078702 + ... + 11039028.

It is an arithmetic number, because the mean of its divisors is an integer number (1087561834656).

Almost surely, 242454769148855 is an apocalyptic number.

42454769148855 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42454769148855 is an abundant number, since it is smaller than the sum of its proper divisors (44550177623625).

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

42454769148855 is a wasteful number, since it uses less digits than its factorization.

42454769148855 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4963370 (or 4963361 counting only the distinct ones).

The product of its digits is 1548288000, while the sum is 72.

The spelling of 42454769148855 in words is "forty-two trillion, four hundred fifty-four billion, seven hundred sixty-nine million, one hundred forty-eight thousand, eight hundred fifty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 315 405 567 945 2835 3019 9057 15095 21133 27171 45285 63399 81513 105665 135855 190197 244539 316995 407565 570591 950985 1222695 1711773 2852955 4960327 8558865 14880981 24801635 34722289 44642943 74404905 104166867 133928829 173611445 223214715 312500601 401786487 520834335 669644145 937501803 1562503005 2008932435 2812505409 4687509015 14062527045 14975227213 44925681639 74876136065 104826590491 134777044917 224628408195 314479771473 404331134751 524132952455 673885224585 943439314419 1212993404253 1572398857365 2021655673755 2830317943257 4717196572095 6064967021265 8490953829771 14151589716285 42454769148855