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212948282469 = 313172137150299
BaseRepresentation
bin1100011001010010110…
…1001110110001100101
3202100122201202120211210
43012110231032301211
511442104230014334
6241454352422033
721246025351446
oct3062455166145
9670581676753
10212948282469
118234683249a
123532bb47919
1317108a83a90
14a441a272cd
1558150ac5e9
hex3194b4ec65

212948282469 has 32 divisors (see below), whose sum is σ = 323912131200. Its totient is φ = 123278026752.

The previous prime is 212948282461. The next prime is 212948282489. The reversal of 212948282469 is 964282849212.

212948282469 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 212948282469 - 23 = 212948282461 is a prime.

It is a super-2 number, since 2×2129482824692 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212948282461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1341682 + ... + 1491980.

It is an arithmetic number, because the mean of its divisors is an integer number (10122254100).

Almost surely, 2212948282469 is an apocalyptic number.

It is an amenable number.

212948282469 is a deficient number, since it is larger than the sum of its proper divisors (110963848731).

212948282469 is a wasteful number, since it uses less digits than its factorization.

212948282469 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152469.

The product of its digits is 7962624, while the sum is 57.

The spelling of 212948282469 in words is "two hundred twelve billion, nine hundred forty-eight million, two hundred eighty-two thousand, four hundred sixty-nine".

Divisors: 1 3 13 17 39 51 221 663 2137 6411 27781 36329 83343 108987 150299 450897 472277 1416831 1953887 2555083 5861661 7665249 33216079 99648237 321188963 963566889 4175456519 5460212371 12526369557 16380637113 70982760823 212948282469