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24346664342 = 27112131765033
BaseRepresentation
bin10110101011001011…
…001001110110010110
32022211202112200202222
4112223023021312112
5344330221224332
615103521302342
71521222142460
oct265313116626
968752480688
1024346664342
11a36406a300
1248757949b2
1323b0085180
14126d6b9130
1597766b712
hex5ab2c9d96

24346664342 has 96 divisors (see below), whose sum is σ = 52312309056. Its totient is φ = 8240855040.

The previous prime is 24346664323. The next prime is 24346664351.

24346664342 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 24346664293 and 24346664302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 341858 + ... + 406890.

It is an arithmetic number, because the mean of its divisors is an integer number (544919886).

Almost surely, 224346664342 is an apocalyptic number.

24346664342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

24346664342 is an abundant number, since it is smaller than the sum of its proper divisors (27965644714).

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

24346664342 is a wasteful number, since it uses less digits than its factorization.

24346664342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65094 (or 65083 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 44.

The spelling of 24346664342 in words is "twenty-four billion, three hundred forty-six million, six hundred sixty-four thousand, three hundred forty-two".

Divisors: 1 2 7 11 13 14 17 22 26 34 77 91 119 121 143 154 182 187 221 238 242 286 374 442 847 1001 1309 1547 1573 1694 2002 2057 2431 2618 3094 3146 4114 4862 11011 14399 17017 22022 26741 28798 34034 53482 65033 130066 187187 374374 455231 715363 845429 910462 1105561 1430726 1690858 2211122 5007541 5918003 7738927 7868993 9299719 10015082 11836006 12161171 14372293 15477854 15737986 18599438 24322342 28744586 55082951 65098033 85128197 100606051 102296909 110165902 130196066 133772881 158095223 170256394 201212102 204593818 267545762 316190446 716078363 936410167 1106666561 1432156726 1739047453 1872820334 2213333122 3478094906 12173332171 24346664342