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426879117431 = 13411327603541
BaseRepresentation
bin1100011011000111111…
…10100110100001110111
31111210211221101000022122
412031203332212201313
523443222023224211
6524034444550155
742561314425604
oct6154376464167
91453757330278
10426879117431
11155047151138
126a894b5235b
1331340276360
1416937d396ab
15b1865516db
hex6363fa6877

426879117431 has 16 divisors (see below), whose sum is σ = 471284220288. Its totient is φ = 384141139200.

The previous prime is 426879117409. The next prime is 426879117523. The reversal of 426879117431 is 134711978624.

It is not a de Polignac number, because 426879117431 - 26 = 426879117367 is a prime.

It is a super-3 number, since 3×4268791174313 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426879117631) 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 15 ways as a sum of consecutive naturals, for example, 405521 + ... + 1009061.

It is an arithmetic number, because the mean of its divisors is an integer number (29455263768).

Almost surely, 2426879117431 is an apocalyptic number.

426879117431 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

426879117431 is a deficient number, since it is larger than the sum of its proper divisors (44405102857).

426879117431 is a wasteful number, since it uses less digits than its factorization.

426879117431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604922.

The product of its digits is 2032128, while the sum is 53.

The spelling of 426879117431 in words is "four hundred twenty-six billion, eight hundred seventy-nine million, one hundred seventeen thousand, four hundred thirty-one".

Divisors: 1 13 41 533 1327 17251 54407 603541 707291 7846033 24745181 321687353 800898907 10411685791 32836855187 426879117431