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4024760065 = 52577334273
BaseRepresentation
bin1110111111100100…
…1111011100000001
3101101111021222212121
43233321033130001
531220314310230
61503212324241
7201510616234
oct35771173401
911344258777
104024760065
111785965897
12943a73681
134c1ab0641
142a275b41b
1518851677a
hexefe4f701

4024760065 has 16 divisors (see below), whose sum is σ = 4856255568. Its totient is φ = 3202154496.

The previous prime is 4024760021. The next prime is 4024760083. The reversal of 4024760065 is 5600674204.

It can be written as a sum of positive squares in 8 ways, for example, as 790790641 + 3233969424 = 28121^2 + 56868^2 .

It is a cyclic number.

It is not a de Polignac number, because 4024760065 - 213 = 4024751873 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4024760065.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 939769 + ... + 944041.

It is an arithmetic number, because the mean of its divisors is an integer number (303515973).

Almost surely, 24024760065 is an apocalyptic number.

It is an amenable number.

4024760065 is a deficient number, since it is larger than the sum of its proper divisors (831495503).

4024760065 is a wasteful number, since it uses less digits than its factorization.

4024760065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5268.

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 4024760065 is about 63440.9967213631. The cubic root of 4024760065 is about 1590.6696630671.

The spelling of 4024760065 in words is "four billion, twenty-four million, seven hundred sixty thousand, sixty-five".

Divisors: 1 5 257 733 1285 3665 4273 21365 188381 941905 1098161 3132109 5490805 15660545 804952013 4024760065