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42147774576045 = 32519291699849751
BaseRepresentation
bin10011001010101010010110…
…01000011011010110101101
312112020021202212201010101200
421211111023020123112231
521011022120242413140
6225350230443200113
711610035100524415
oct1145251310332655
9175207685633350
1042147774576045
111247a852a5a056
124888630516039
131a69697317778
14a59d6ad41645
154d1561239030
hex26554b21b5ad

42147774576045 has 48 divisors (see below), whose sum is σ = 79552968393600. Its totient is φ = 20561382576000.

The previous prime is 42147774576031. The next prime is 42147774576053. The reversal of 42147774576045 is 54067547774124.

42147774576045 is a `hidden beast` number, since 4 + 2 + 1 + 477 + 74 + 57 + 6 + 0 + 45 = 666.

42147774576045 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42147774576045 - 220 = 42147773527469 is a prime.

It is a super-3 number, since 3×421477745760453 (a number of 42 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 849900081 + ... + 849949670.

It is an arithmetic number, because the mean of its divisors is an integer number (1657353508200).

Almost surely, 242147774576045 is an apocalyptic number.

42147774576045 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42147774576045 is a deficient number, since it is larger than the sum of its proper divisors (37405193817555).

42147774576045 is a wasteful number, since it uses less digits than its factorization.

42147774576045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1699849810 (or 1699849807 counting only the distinct ones).

The product of its (nonzero) digits is 184396800, while the sum is 63.

The spelling of 42147774576045 in words is "forty-two trillion, one hundred forty-seven billion, seven hundred seventy-four million, five hundred seventy-six thousand, forty-five".

Divisors: 1 3 5 9 15 19 29 45 57 87 95 145 171 261 285 435 551 855 1305 1653 2755 4959 8265 24795 1699849751 5099549253 8499248755 15298647759 25497746265 32297145269 49295642779 76493238795 96891435807 147886928337 161485726345 246478213895 290674307421 443660785011 484457179035 739434641685 936617212801 1453371537105 2218303925055 2809851638403 4683086064005 8429554915209 14049258192015 42147774576045