Search a number
-
+
5428560015 = 3251931720029
BaseRepresentation
bin1010000111001000…
…10100000010001111
3112000022210102101100
411003210110002033
542104202410030
62254400514143
7251344666404
oct50344240217
915008712340
105428560015
11233630a53a
12107601b953
1368688c8b8
14396d7c2ab
1521b8ac360
hex14391408f

5428560015 has 48 divisors (see below), whose sum is σ = 9936482400. Its totient is φ = 2734062336.

The previous prime is 5428560013. The next prime is 5428560017. The reversal of 5428560015 is 5100658245.

5428560015 is a `hidden beast` number, since 5 + 42 + 8 + 5 + 600 + 1 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (5428560013) and next prime (5428560017).

It is not a de Polignac number, because 5428560015 - 21 = 5428560013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5428560013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 261021 + ... + 281049.

It is an arithmetic number, because the mean of its divisors is an integer number (207010050).

Almost surely, 25428560015 is an apocalyptic number.

5428560015 is a deficient number, since it is larger than the sum of its proper divisors (4507922385).

5428560015 is a wasteful number, since it uses less digits than its factorization.

5428560015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20376 (or 20373 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 5428560015 is about 73678.7623063797. The cubic root of 5428560015 is about 1757.4981687216.

The spelling of 5428560015 in words is "five billion, four hundred twenty-eight million, five hundred sixty thousand, fifteen".

Divisors: 1 3 5 9 15 19 45 57 95 171 285 317 855 951 1585 2853 4755 6023 14265 18069 20029 30115 54207 60087 90345 100145 180261 271035 300435 380551 901305 1141653 1902755 3424959 5708265 6349193 17124795 19047579 31745965 57142737 95237895 120634667 285713685 361904001 603173335 1085712003 1809520005 5428560015