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24134257709 = 536146116193
BaseRepresentation
bin10110011110100000…
…111000110000101101
32022021221212022122122
4112132200320300231
5343411332221314
615030452522325
71513032543242
oct263640706055
968257768578
1024134257709
11a265183031
1248166203a5
132378075a83
14124d3c75c9
15963bb128e
hex59e838c2d

24134257709 has 16 divisors (see below), whose sum is σ = 25048490544. Its totient is φ = 23238758400.

The previous prime is 24134257703. The next prime is 24134257711. The reversal of 24134257709 is 90775243142.

It can be written as a sum of positive squares in 8 ways, for example, as 61183684 + 24073074025 = 7822^2 + 155155^2 .

It is a cyclic number.

It is not a de Polignac number, because 24134257709 - 232 = 19839290413 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 24134257709.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24134257703) 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 15 ways as a sum of consecutive naturals, for example, 1482317 + ... + 1498509.

It is an arithmetic number, because the mean of its divisors is an integer number (1565530659).

Almost surely, 224134257709 is an apocalyptic number.

It is an amenable number.

24134257709 is a deficient number, since it is larger than the sum of its proper divisors (914232835).

24134257709 is a wasteful number, since it uses less digits than its factorization.

24134257709 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16768.

The product of its (nonzero) digits is 423360, while the sum is 44.

The spelling of 24134257709 in words is "twenty-four billion, one hundred thirty-four million, two hundred fifty-seven thousand, seven hundred nine".

Divisors: 1 53 61 461 3233 16193 24433 28121 858229 987773 1490413 7464973 52351969 395643569 455363353 24134257709