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218480142906 = 23227746739377
BaseRepresentation
bin1100101101111001101…
…1100110101000111010
3202212221020221012202200
43023132123212220322
512034421404033111
6244211323411030
721533066400444
oct3133633465072
9685836835680
10218480142906
1184725388083
1236414683a76
13177aab7148c
14a8085b5494
155a3aa72256
hex32de6e6a3a

218480142906 has 48 divisors (see below), whose sum is σ = 475234914024. Its totient is φ = 72540536832.

The previous prime is 218480142901. The next prime is 218480142931. The reversal of 218480142906 is 609241084812.

218480142906 is a `hidden beast` number, since 21 + 8 + 480 + 142 + 9 + 0 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 167309631225 + 51170511681 = 409035^2 + 226209^2 .

It is not an unprimeable number, because it can be changed into a prime (218480142901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23294890 + ... + 23304266.

Almost surely, 2218480142906 is an apocalyptic number.

218480142906 is an abundant number, since it is smaller than the sum of its proper divisors (256754771118).

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

218480142906 is a wasteful number, since it uses less digits than its factorization.

218480142906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14335 (or 14332 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 218480142906 in words is "two hundred eighteen billion, four hundred eighty million, one hundred forty-two thousand, nine hundred six".

Divisors: 1 2 3 6 9 18 277 554 831 1662 2493 4673 4986 9346 9377 14019 18754 28038 28131 42057 56262 84114 84393 168786 1294421 2588842 2597429 3883263 5194858 7766526 7792287 11649789 15584574 23299578 23376861 43818721 46753722 87637442 131456163 262912326 394368489 788736978 12137785717 24275571434 36413357151 72826714302 109240071453 218480142906