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27804144433 = 1319731813413
BaseRepresentation
bin11001111001010000…
…011001001100110001
32122202201101212211011
4121321100121030301
5423420330110213
620434551150521
72003004220402
oct317120311461
978681355734
1027804144433
111087879526a
12547b675441
132811484c90
1414ba9699a9
15acae7a03d
hex679419331

27804144433 has 16 divisors (see below), whose sum is σ = 30113200656. Its totient is φ = 25519576320.

The previous prime is 27804144421. The next prime is 27804144469. The reversal of 27804144433 is 33444140872.

It can be written as a sum of positive squares in 8 ways, for example, as 575184289 + 27228960144 = 23983^2 + 165012^2 .

It is a cyclic number.

It is not a de Polignac number, because 27804144433 - 221 = 27802047281 is a prime.

It is a super-2 number, since 2×278041444332 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27804114433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8144835 + ... + 8148247.

It is an arithmetic number, because the mean of its divisors is an integer number (1882075041).

Almost surely, 227804144433 is an apocalyptic number.

It is an amenable number.

27804144433 is a deficient number, since it is larger than the sum of its proper divisors (2309056223).

27804144433 is a wasteful number, since it uses less digits than its factorization.

27804144433 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6804.

The product of its (nonzero) digits is 258048, while the sum is 40.

The spelling of 27804144433 in words is "twenty-seven billion, eight hundred four million, one hundred forty-four thousand, four hundred thirty-three".

Divisors: 1 13 197 2561 3181 3413 41353 44369 626657 672361 8146541 8740693 10856753 141137789 2138780341 27804144433