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4200020505 = 3655771997
BaseRepresentation
bin1111101001010111…
…0011101000011001
3101211201002011000000
43322111303220121
532100201124010
61532433003213
7206036404512
oct37225635031
911751064000
104200020505
11186589062a
129926b3509
1351c1b5145
142bbb3da09
15198ad57c0
hexfa573a19

4200020505 has 56 divisors (see below), whose sum is σ = 7573466952. Its totient is φ = 2235009024.

The previous prime is 4200020483. The next prime is 4200020507. The reversal of 4200020505 is 5050200024.

It can be written as a sum of positive squares in 4 ways, for example, as 519292944 + 3680727561 = 22788^2 + 60669^2 .

It is not a de Polignac number, because 4200020505 - 218 = 4199758361 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4200020507) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2102167 + ... + 2104163.

Almost surely, 24200020505 is an apocalyptic number.

4200020505 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4200020505 is a deficient number, since it is larger than the sum of its proper divisors (3373446447).

4200020505 is an equidigital number, since it uses as much as digits as its factorization.

4200020505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2597 (or 2582 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 4200020505 is about 64807.5651833951. The cubic root of 4200020505 is about 1613.4312716833.

Adding to 4200020505 its reverse (5050200024), we get a palindrome (9250220529).

The spelling of 4200020505 in words is "four billion, two hundred million, twenty thousand, five hundred five".

Divisors: 1 3 5 9 15 27 45 81 135 243 405 577 729 1215 1731 1997 2885 3645 5193 5991 8655 9985 15579 17973 25965 29955 46737 53919 77895 89865 140211 161757 233685 269595 420633 485271 701055 808785 1152269 1455813 2103165 2426355 3456807 5761345 7279065 10370421 17284035 31111263 51852105 93333789 155556315 280001367 466668945 840004101 1400006835 4200020505