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424727343727424 = 26191013458241139
BaseRepresentation
bin110000010010010011000101…
…0011100110000001101000000
32001200211112111211221222212222
41200210212022130300031000
5421132213044443234144
64103153014215310212
7155314352342441003
oct14044461234601500
92050745454858788
10424727343727424
11113370944a08031
123b77700807b368
13152cb802a45aca
1476c4cad86553a
1534181ed8572ee
hex182498a730340

424727343727424 has 56 divisors (see below), whose sum is σ = 895961114551200. Its totient is φ = 199194689548800.

The previous prime is 424727343727363. The next prime is 424727343727487.

It is a happy number.

424727343727424 is nontrivially palindromic in base 10.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1728997754 + ... + 1729243385.

Almost surely, 2424727343727424 is an apocalyptic number.

It is an amenable number.

424727343727424 is an abundant number, since it is smaller than the sum of its proper divisors (471233770823776).

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

424727343727424 is a wasteful number, since it uses less digits than its factorization.

424727343727424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3458241271 (or 3458241261 counting only the distinct ones).

The product of its digits is 354041856, while the sum is 62.

The spelling of 424727343727424 in words is "four hundred twenty-four trillion, seven hundred twenty-seven billion, three hundred forty-three million, seven hundred twenty-seven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 101 152 202 304 404 608 808 1216 1616 1919 3232 3838 6464 7676 15352 30704 61408 122816 3458241139 6916482278 13832964556 27665929112 55331858224 65706581641 110663716448 131413163282 221327432896 262826326564 349282355039 525652653128 698564710078 1051305306256 1397129420156 2102610612512 2794258840312 4205221225024 5588517680624 6636364745741 11177035361248 13272729491482 22354070722496 26545458982964 53090917965928 106181835931856 212363671863712 424727343727424