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427329270441 = 32831792931907
BaseRepresentation
bin1100011011111101100…
…11110011001010101001
31111212000022102011011100
412031332303303022221
524000132243123231
6524151245152013
742605421603213
oct6157663631251
91455008364140
10427329270441
11155258261817
126a99b85b609
13313b25c7898
141697ba375b3
15b1b0d201e6
hex637ecf32a9

427329270441 has 24 divisors (see below), whose sum is σ = 624744600480. Its totient is φ = 281429297856.

The previous prime is 427329270397. The next prime is 427329270443. The reversal of 427329270441 is 144072923724.

427329270441 is a `hidden beast` number, since 4 + 27 + 32 + 92 + 70 + 441 = 666.

It is not a de Polignac number, because 427329270441 - 213 = 427329262249 is a prime.

It is a super-2 number, since 2×4273292704412 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (427329270443) 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 23 ways as a sum of consecutive naturals, for example, 13377010 + ... + 13408916.

It is an arithmetic number, because the mean of its divisors is an integer number (26031025020).

Almost surely, 2427329270441 is an apocalyptic number.

It is an amenable number.

427329270441 is a deficient number, since it is larger than the sum of its proper divisors (197415330039).

427329270441 is a wasteful number, since it uses less digits than its factorization.

427329270441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49925 (or 49922 counting only the distinct ones).

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

The spelling of 427329270441 in words is "four hundred twenty-seven billion, three hundred twenty-nine million, two hundred seventy thousand, four hundred forty-one".

Divisors: 1 3 9 83 249 747 17929 31907 53787 95721 161361 287163 1488107 2648281 4464321 7944843 13392963 23834529 572060603 1716181809 5148545427 47481030049 142443090147 427329270441