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24428430760 = 235610710769
BaseRepresentation
bin10110110000000011…
…000100010110101000
32100001110101212012211
4112300003010112220
5400012134241020
615120002014504
71523234143516
oct266003042650
970043355184
1024428430760
11a3a6237658
124899047434
1323c3cb3576
14127a4c14b6
1597e91d85a
hex5b00c45a8

24428430760 has 16 divisors (see below), whose sum is σ = 54963969300. Its totient is φ = 9771372288.

The previous prime is 24428430707. The next prime is 24428430773. The reversal of 24428430760 is 6703482442.

It can be written as a sum of positive squares in 2 ways, for example, as 24180872004 + 247558756 = 155502^2 + 15734^2 .

It is a super-2 number, since 2×244284307602 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 610710769 = 24428430760 / (2 + 4 + 4 + 2 + 8 + 4 + 3 + 0 + 7 + 6 + 0).

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 305355345 + ... + 305355424.

Almost surely, 224428430760 is an apocalyptic number.

24428430760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24428430760 is an abundant number, since it is smaller than the sum of its proper divisors (30535538540).

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

24428430760 is a wasteful number, since it uses less digits than its factorization.

24428430760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610710780 (or 610710776 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 40.

The spelling of 24428430760 in words is "twenty-four billion, four hundred twenty-eight million, four hundred thirty thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 610710769 1221421538 2442843076 3053553845 4885686152 6107107690 12214215380 24428430760