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BaseRepresentation
bin1000111111010110…
…1011100100100001
320020011212222020202
42033311223210201
514420240321420
61035243314545
7113541660200
oct21765534441
96204788222
102413213985
111029218426
1257421ba55
132c5c64390
1418c6dd237
15e1cd6575
hex8fd6b921

2413213985 has 48 divisors (see below), whose sum is σ = 3687545232. Its totient is φ = 1502323200.

The previous prime is 2413213927. The next prime is 2413213991. The reversal of 2413213985 is 5893123142.

It can be written as a sum of positive squares in 8 ways, for example, as 166074769 + 2247139216 = 12887^2 + 47404^2 .

It is not a de Polignac number, because 2413213985 - 220 = 2412165409 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 47 ways as a sum of consecutive naturals, for example, 188075 + ... + 200495.

It is an arithmetic number, because the mean of its divisors is an integer number (76823859).

Almost surely, 22413213985 is an apocalyptic number.

It is an amenable number.

2413213985 is a deficient number, since it is larger than the sum of its proper divisors (1274331247).

2413213985 is a wasteful number, since it uses less digits than its factorization.

2413213985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12514 (or 12507 counting only the distinct ones).

The product of its digits is 51840, while the sum is 38.

The square root of 2413213985 is about 49124.4743992239. The cubic root of 2413213985 is about 1341.3185923351.

The spelling of 2413213985 in words is "two billion, four hundred thirteen million, two hundred thirteen thousand, nine hundred eighty-five".