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24386868342 = 23310122320051
BaseRepresentation
bin10110101101100100…
…100001010001110110
32022221120012021022000
4112231210201101312
5344421014241332
615111515120130
71522220650344
oct265544412166
968846167260
1024386868342
11a38482a151
124887143046
1323b84c0815
141274b82994
1597ae5db7c
hex5ad921476

24386868342 has 64 divisors (see below), whose sum is σ = 54977771520. Its totient is φ = 8011980000.

The previous prime is 24386868251. The next prime is 24386868371.

24386868342 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1206217 + ... + 1226267.

It is an arithmetic number, because the mean of its divisors is an integer number (859027680).

Almost surely, 224386868342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24386868342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27488885760).

24386868342 is an abundant number, since it is smaller than the sum of its proper divisors (30590903178).

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

24386868342 is a wasteful number, since it uses less digits than its factorization.

24386868342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20386 (or 20380 counting only the distinct ones).

The product of its digits is 10616832, while the sum is 54.

The spelling of 24386868342 in words is "twenty-four billion, three hundred eighty-six million, eight hundred sixty-eight thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 101 202 223 303 446 606 669 909 1338 1818 2007 2727 4014 5454 6021 12042 20051 22523 40102 45046 60153 67569 120306 135138 180459 202707 360918 405414 541377 608121 1082754 1216242 2025151 4050302 4471373 6075453 8942746 12150906 13414119 18226359 26828238 36452718 40242357 54679077 80484714 109358154 120727071 241454142 451608673 903217346 1354826019 2709652038 4064478057 8128956114 12193434171 24386868342