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426801347073 = 3441500925657
BaseRepresentation
bin1100011010111110101…
…01111011101000000001
31111210122112000212110000
412031133111323220001
523443042121101243
6524023030030213
742556351410063
oct6153725735001
91453575025400
10426801347073
11155007263112
126a872aa8369
133132a116aaa
141692b893733
15b17e7dd5d3
hex635f57ba01

426801347073 has 40 divisors (see below), whose sum is σ = 653273719560. Its totient is φ = 277528135680.

The previous prime is 426801346927. The next prime is 426801347087. The reversal of 426801347073 is 370743108624.

426801347073 is a `hidden beast` number, since 4 + 26 + 80 + 13 + 470 + 73 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10909809 + 426790437264 = 3303^2 + 653292^2 .

It is not a de Polignac number, because 426801347073 - 224 = 426784569857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (426801347773) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16622061 + ... + 16647717.

It is an arithmetic number, because the mean of its divisors is an integer number (16331842989).

Almost surely, 2426801347073 is an apocalyptic number.

It is an amenable number.

426801347073 is a deficient number, since it is larger than the sum of its proper divisors (226472372487).

426801347073 is a wasteful number, since it uses less digits than its factorization.

426801347073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30719 (or 30710 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 426801347073 in words is "four hundred twenty-six billion, eight hundred one million, three hundred forty-seven thousand, seventy-three".

Divisors: 1 3 9 27 41 81 123 369 1107 3321 5009 15027 25657 45081 76971 135243 205369 230913 405729 616107 692739 1051937 1848321 2078217 3155811 5544963 9467433 16634889 28402299 85206897 128515913 385547739 1156643217 3469929651 5269152433 10409788953 15807457299 47422371897 142267115691 426801347073