Search a number
-
+
24522434442 = 23211612518089
BaseRepresentation
bin10110110101101001…
…101010011110001010
32100022000021202000200
4112311221222132022
5400210220400232
615133200513030
71525455152652
oct266551523612
970260252020
1024522434442
11a444302a50
12490461b776
13240a60794c
141288b91362
15987cdb77c
hex5b5a6a78a

24522434442 has 96 divisors (see below), whose sum is σ = 59154338880. Its totient is φ = 7279200000.

The previous prime is 24522434441. The next prime is 24522434459. The reversal of 24522434442 is 24443422542.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 24522434397 and 24522434406.

It is not an unprimeable number, because it can be changed into a prime (24522434441) by changing a digit.

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, 3027534 + ... + 3035622.

It is an arithmetic number, because the mean of its divisors is an integer number (616191030).

Almost surely, 224522434442 is an apocalyptic number.

24522434442 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 24522434442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29577169440).

24522434442 is an abundant number, since it is smaller than the sum of its proper divisors (34631904438).

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

24522434442 is a wasteful number, since it uses less digits than its factorization.

24522434442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8420 (or 8417 counting only the distinct ones).

The product of its digits is 245760, while the sum is 36.

Adding to 24522434442 its reverse (24443422542), we get a palindrome (48965856984).

The spelling of 24522434442 in words is "twenty-four billion, five hundred twenty-two million, four hundred thirty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 61 66 99 122 183 198 251 366 502 549 671 753 1098 1342 1506 2013 2259 2761 4026 4518 5522 6039 8089 8283 12078 15311 16178 16566 24267 24849 30622 45933 48534 49698 72801 88979 91866 137799 145602 168421 177958 266937 275598 336842 493429 505263 533874 800811 986858 1010526 1480287 1515789 1601622 2030339 2960574 3031578 4060678 4440861 5427719 6091017 8881722 10855438 12182034 16283157 18273051 22333729 32566314 36546102 44667458 48849471 67001187 97698942 123850679 134002374 201003561 247701358 371552037 402007122 743104074 1114656111 1362357469 2229312222 2724714938 4087072407 8174144814 12261217221 24522434442