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4056144664 = 2311132272737
BaseRepresentation
bin1111000111000011…
…1101101100011000
3101110200100111110011
43301300331230120
531301333112124
61510253131304
7202341442435
oct36160755430
911420314404
104056144664
1117a1651580
12952489b34
134c844b900
142a69aab8c
1518b165994
hexf1c3db18

4056144664 has 48 divisors (see below), whose sum is σ = 8983989720. Its totient is φ = 1701872640.

The previous prime is 4056144641. The next prime is 4056144667. The reversal of 4056144664 is 4664416504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4056144667) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 121497 + ... + 151240.

Almost surely, 24056144664 is an apocalyptic number.

4056144664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4056144664 is an abundant number, since it is smaller than the sum of its proper divisors (4927845056).

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

4056144664 is a wasteful number, since it uses less digits than its factorization.

4056144664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272780 (or 272763 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

The square root of 4056144664 is about 63687.8690489798. The cubic root of 4056144664 is about 1594.7935797438.

The spelling of 4056144664 in words is "four billion, fifty-six million, one hundred forty-four thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 169 286 338 572 676 1144 1352 1859 3718 7436 14872 272737 545474 1090948 2181896 3000107 3545581 6000214 7091162 12000428 14182324 24000856 28364648 39001391 46092553 78002782 92185106 156005564 184370212 312011128 368740424 507018083 1014036166 2028072332 4056144664