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215232513345 = 32529164929129
BaseRepresentation
bin1100100001110011011…
…0111000010101000001
3202120112220221112112100
43020130312320111001
512011244010411340
6242513151421013
721356443114623
oct3103466702501
9676486845470
10215232513345
1183309162a03
1235868b24769
13173b1097495
14a5bb14cc13
1558ea8b6830
hex321cdb8541

215232513345 has 24 divisors (see below), whose sum is σ = 385934164200. Its totient is φ = 110832374016.

The previous prime is 215232513329. The next prime is 215232513371. The reversal of 215232513345 is 543315232512.

215232513345 is a `hidden beast` number, since 21 + 52 + 3 + 251 + 334 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2396304 + 215230117041 = 1548^2 + 463929^2 .

It is not a de Polignac number, because 215232513345 - 24 = 215232513329 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82463260 + ... + 82465869.

It is an arithmetic number, because the mean of its divisors is an integer number (16080590175).

Almost surely, 2215232513345 is an apocalyptic number.

It is an amenable number.

215232513345 is a deficient number, since it is larger than the sum of its proper divisors (170701650855).

215232513345 is a wasteful number, since it uses less digits than its factorization.

215232513345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164929169 (or 164929166 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

Adding to 215232513345 its reverse (543315232512), we get a palindrome (758547745857).

The spelling of 215232513345 in words is "two hundred fifteen billion, two hundred thirty-two million, five hundred thirteen thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 29 45 87 145 261 435 1305 164929129 494787387 824645645 1484362161 2473936935 4782944741 7421810805 14348834223 23914723705 43046502669 71744171115 215232513345