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213257534427 = 347971938699
BaseRepresentation
bin1100011010011100100…
…0111011101111011011
3202101110021200012210000
43012213020323233123
511443222412100202
6241545201024043
721256502063610
oct3064710735733
9671407605700
10213257534427
1182495356023
12353b7625023
1317157b70ac2
14a470b28507
1558322e791c
hex31a723bbdb

213257534427 has 40 divisors (see below), whose sum is σ = 364126752000. Its totient is φ = 121845761136.

The previous prime is 213257534417. The next prime is 213257534431. The reversal of 213257534427 is 724435752312.

213257534427 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 575 + 34 + 42 + 7 = 666.

It is not a de Polignac number, because 213257534427 - 26 = 213257534363 is a prime.

It is not an unprimeable number, because it can be changed into a prime (213257534417) 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 39 ways as a sum of consecutive naturals, for example, 5491324 + ... + 5530022.

It is an arithmetic number, because the mean of its divisors is an integer number (9103168800).

Almost surely, 2213257534427 is an apocalyptic number.

213257534427 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

213257534427 is a deficient number, since it is larger than the sum of its proper divisors (150869217573).

213257534427 is an equidigital number, since it uses as much as digits as its factorization.

213257534427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48437 (or 48428 counting only the distinct ones).

The product of its digits is 1411200, while the sum is 45.

The spelling of 213257534427 in words is "two hundred thirteen billion, two hundred fifty-seven million, five hundred thirty-four thousand, four hundred twenty-seven".

Divisors: 1 3 7 9 21 27 63 81 189 567 9719 29157 38699 68033 87471 116097 204099 262413 270893 348291 612297 787239 812679 1044873 1836891 2438037 3134619 5510673 7314111 21942333 376115581 1128346743 2632809067 3385040229 7898427201 10155120687 23695281603 30465362061 71085844809 213257534427