Search a number
-
+
23876664042 = 23721126111003
BaseRepresentation
bin10110001111001010…
…001111101011101010
32021122000011012120110
4112033022033223222
5342344411222132
614545131435150
71503454203300
oct261712175352
967560135513
1023876664042
11a142833100
1247642b5ab6
1323368a4b9a
1412270d2270
1594b27c1cc
hex58f28faea

23876664042 has 144 divisors (see below), whose sum is σ = 62065465056. Its totient is φ = 6099508800.

The previous prime is 23876664037. The next prime is 23876664079. The reversal of 23876664042 is 24046667832.

It is a junction number, because it is equal to n+sod(n) for n = 23876663982 and 23876664000.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2164513 + ... + 2175515.

It is an arithmetic number, because the mean of its divisors is an integer number (431010174).

Almost surely, 223876664042 is an apocalyptic number.

23876664042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 23876664042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31032732528).

23876664042 is an abundant number, since it is smaller than the sum of its proper divisors (38188801014).

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

23876664042 is a wasteful number, since it uses less digits than its factorization.

23876664042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11105 (or 11087 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 48.

The spelling of 23876664042 in words is "twenty-three billion, eight hundred seventy-six million, six hundred sixty-four thousand, forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 61 66 77 98 121 122 147 154 183 231 242 294 363 366 427 462 539 671 726 847 854 1078 1281 1342 1617 1694 2013 2541 2562 2989 3234 4026 4697 5082 5929 5978 7381 8967 9394 11003 11858 14091 14762 17787 17934 22006 22143 28182 32879 33009 35574 44286 51667 65758 66018 77021 98637 103334 121033 154042 155001 197274 231063 242066 310002 361669 363099 462126 539147 671183 723338 726198 847231 1078294 1085007 1331363 1342366 1617441 1694462 2013549 2170014 2541693 2662726 3234882 3994089 4027098 4698281 5083386 5930617 7383013 7988178 9319541 9396562 11861234 14094843 14766026 17791851 18639082 22149039 27958623 28189686 32887967 35583702 44298078 51681091 55917246 65236787 65775934 81213143 98663901 103362182 130473574 155043273 162426286 195710361 197327802 243639429 310086546 361767637 391420722 487278858 568492001 723535274 1085302911 1136984002 1705476003 2170605822 3410952006 3979444007 7958888014 11938332021 23876664042