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24325852342 = 21121923273137
BaseRepresentation
bin10110101001111011…
…110000110010110110
32022210022101100002011
4112221323300302312
5344304404233332
615101455234434
71520550222211
oct265173606266
968708340064
1024325852342
11a353344a00
12486a818a1a
1323a897928c
14126aa1c778
15975909e47
hex5a9ef0cb6

24325852342 has 144 divisors (see below), whose sum is σ = 45064943280. Its totient is φ = 9810408960.

The previous prime is 24325852333. The next prime is 24325852349.

24325852342 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 24325852295 and 24325852304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24325852349) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 177560898 + ... + 177561034.

It is an arithmetic number, because the mean of its divisors is an integer number (312950995).

Almost surely, 224325852342 is an apocalyptic number.

24325852342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

24325852342 is a deficient number, since it is larger than the sum of its proper divisors (20739090938).

24325852342 is a wasteful number, since it uses less digits than its factorization.

24325852342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 265 counting only the distinct ones).

The product of its digits is 460800, while the sum is 40.

The spelling of 24325852342 in words is "twenty-four billion, three hundred twenty-five million, eight hundred fifty-two thousand, three hundred forty-two".

Divisors: 1 2 11 19 22 23 38 46 73 121 137 146 209 242 253 274 418 437 506 529 803 874 1058 1387 1507 1606 1679 2299 2603 2774 2783 3014 3151 3358 4598 4807 5206 5566 5819 6302 8833 9614 10001 10051 11638 15257 16577 17666 18469 20002 20102 28633 30514 31901 33154 34661 36938 38617 52877 57266 59869 63802 64009 69322 72473 77234 105754 110011 110561 119738 128018 144946 167827 190019 203159 220022 221122 230023 314963 335654 350911 380038 381271 406318 424787 460046 629926 658559 701822 733723 762542 797203 849574 1210121 1216171 1317118 1376987 1467446 1594406 2090209 2420242 2432342 2530253 2753974 3860021 4180418 4370437 4672657 5060506 5290529 7244149 7720042 8070953 8740874 8769233 9345314 10581058 14488298 15146857 16141906 17538466 22992299 27832783 30293714 45984598 48074807 55665566 58195819 88780483 96149614 100520051 116391638 166615427 177560966 201040102 333230854 528822877 640154009 1057645754 1105720561 1280308018 2211441122 12162926171 24325852342