Search a number
-
+
427742623503 = 33137117163943
BaseRepresentation
bin1100011100101110111…
…00100111011100001111
31111220002010012122222000
412032113130213130033
524002004102423003
6524300252523343
742621601211166
oct6162734473417
91456063178860
10427742623503
1115544a618018
126aa96180553
133144a132cb0
14169ba8b63dd
15b1d72701a3
hex639772770f

427742623503 has 32 divisors (see below), whose sum is σ = 692050222080. Its totient is φ = 259518803040.

The previous prime is 427742623493. The next prime is 427742623507. The reversal of 427742623503 is 305326247724.

427742623503 is a `hidden beast` number, since 4 + 277 + 4 + 26 + 2 + 350 + 3 = 666.

It is not a de Polignac number, because 427742623503 - 212 = 427742619407 is a prime.

It is a super-2 number, since 2×4277426235032 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427742623507) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 8557051 + ... + 8606892.

It is an arithmetic number, because the mean of its divisors is an integer number (21626569440).

Almost surely, 2427742623503 is an apocalyptic number.

427742623503 is a deficient number, since it is larger than the sum of its proper divisors (264307598577).

427742623503 is a wasteful number, since it uses less digits than its factorization.

427742623503 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17164036 (or 17164030 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 45.

The spelling of 427742623503 in words is "four hundred twenty-seven billion, seven hundred forty-two million, six hundred twenty-three thousand, five hundred three".

Divisors: 1 3 9 13 27 39 71 117 213 351 639 923 1917 2769 8307 24921 17163943 51491829 154475487 223131259 463426461 669393777 1218639953 2008181331 3655919859 6024543993 10967759577 15842319389 32903278731 47526958167 142580874501 427742623503