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427545545724 = 223311438369461
BaseRepresentation
bin1100011100010111011…
…00110100101111111100
31111212120101101002002000
412032023230310233330
524001103124430344
6524224532502300
742613656114333
oct6161354645774
91455511332060
10427545545724
11155359350620
126aa4017a990
133141835cb1b
141699c654d1a
15b1c4ce1a69
hex638bb34bfc

427545545724 has 96 divisors (see below), whose sum is σ = 1237341262080. Its totient is φ = 126546235200.

The previous prime is 427545545701. The next prime is 427545545729.

427545545724 is a `hidden beast` number, since 4 + 2 + 75 + 4 + 5 + 545 + 7 + 24 = 666.

427545545724 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×4275455457243 (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427545545729) 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, 4133647 + ... + 4235814.

It is an arithmetic number, because the mean of its divisors is an integer number (12888971480).

Almost surely, 2427545545724 is an apocalyptic number.

427545545724 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

427545545724 is an abundant number, since it is smaller than the sum of its proper divisors (809795716356).

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

427545545724 is a wasteful number, since it uses less digits than its factorization.

427545545724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8369528 (or 8369520 counting only the distinct ones).

The product of its digits is 31360000, while the sum is 54.

The spelling of 427545545724 in words is "four hundred twenty-seven billion, five hundred forty-five million, five hundred forty-five thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 43 44 54 66 86 99 108 129 132 172 198 258 297 387 396 473 516 594 774 946 1161 1188 1419 1548 1892 2322 2838 4257 4644 5676 8514 12771 17028 25542 51084 8369461 16738922 25108383 33477844 50216766 75325149 92064071 100433532 150650298 184128142 225975447 276192213 301300596 359886823 368256284 451950894 552384426 719773646 828576639 903901788 1079660469 1104768852 1439547292 1657153278 2159320938 2485729917 3238981407 3314306556 3958755053 4318641876 4971459834 6477962814 7917510106 9716944221 9942919668 11876265159 12955925628 15835020212 19433888442 23752530318 35628795477 38867776884 47505060636 71257590954 106886386431 142515181908 213772772862 427545545724