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23182412869 = 711247661881
BaseRepresentation
bin10101100101110001…
…111000110001000101
32012211121210121000001
4111211301320301011
5334434144202434
614352211321301
71450324154350
oct254561706105
965747717001
1023182412869
11991695aa00
1245ab8b0231
132255ac9385
14119cc13297
1590a343114
hex565c78c45

23182412869 has 48 divisors (see below), whose sum is σ = 29820123648. Its totient is φ = 17633088000.

The previous prime is 23182412833. The next prime is 23182412873. The reversal of 23182412869 is 96821428132.

It is not a de Polignac number, because 23182412869 - 211 = 23182410821 is a prime.

It is a super-2 number, since 2×231824128692 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23182412879) 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 47 ways as a sum of consecutive naturals, for example, 26313309 + ... + 26314189.

It is an arithmetic number, because the mean of its divisors is an integer number (621252576).

Almost surely, 223182412869 is an apocalyptic number.

It is an amenable number.

23182412869 is a deficient number, since it is larger than the sum of its proper divisors (6637710779).

23182412869 is a wasteful number, since it uses less digits than its factorization.

23182412869 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1618 (or 1607 counting only the distinct ones).

The product of its digits is 331776, while the sum is 46.

The spelling of 23182412869 in words is "twenty-three billion, one hundred eighty-two million, four hundred twelve thousand, eight hundred sixty-nine".

Divisors: 1 7 11 47 77 121 329 517 661 847 881 3619 4627 5687 6167 7271 9691 31067 39809 41407 50897 67837 79981 106601 217469 289849 341737 455477 559867 582341 746207 2392159 3188339 3759107 4076387 5010247 6405751 26313749 27370027 35071729 44840257 70463261 191590189 301070297 493242827 2107492079 3311773267 23182412869