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29927348721 = 34537921117
BaseRepresentation
bin11011110111110011…
…110001100111110001
32212020200120211120000
4123313303301213301
5442242400124341
621425354540213
72106425160354
oct336763614761
985220524500
1029927348721
1111768232056
125972737669
132a8c30888a
14163c93629b
15ba25778b6
hex6f7cf19f1

29927348721 has 60 divisors (see below), whose sum is σ = 46174980852. Its totient is φ = 19310031936.

The previous prime is 29927348701. The next prime is 29927348729. The reversal of 29927348721 is 12784372992.

It is a happy number.

29927348721 is a `hidden beast` number, since 2 + 9 + 92 + 73 + 487 + 2 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9908211600 + 20019137121 = 99540^2 + 141489^2 .

It is a de Polignac number, because none of the positive numbers 2k-29927348721 is a prime.

It is not an unprimeable number, because it can be changed into a prime (29927348729) 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 59 ways as a sum of consecutive naturals, for example, 26792055 + ... + 26793171.

Almost surely, 229927348721 is an apocalyptic number.

It is an amenable number.

29927348721 is a deficient number, since it is larger than the sum of its proper divisors (16247632131).

29927348721 is an equidigital number, since it uses as much as digits as its factorization.

29927348721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1252 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The spelling of 29927348721 in words is "twenty-nine billion, nine hundred twenty-seven million, three hundred forty-eight thousand, seven hundred twenty-one".

Divisors: 1 3 9 27 53 79 81 159 237 477 711 1117 1431 2133 3351 4187 4293 6241 6399 10053 12561 18723 30159 37683 56169 59201 88243 90477 113049 168507 177603 264729 330773 339147 505521 532809 794187 992319 1598427 2382561 2976957 4676879 4795281 6971197 7147683 8930871 14030637 20913591 26792613 42091911 62740773 126275733 188222319 369473441 378827199 564666957 1108420323 3325260969 9975782907 29927348721