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24905742312 = 23311619152407
BaseRepresentation
bin10111001100011111…
…110111011111101000
32101021201112210120110
4113030133313133220
5402001332223222
615235212254320
71541121213423
oct271437673750
971251483513
1024905742312
11a620707910
1249b0a713a0
13246bb53639
1412c3a4c9ba
159ab7a430c
hex5cc7f77e8

24905742312 has 64 divisors (see below), whose sum is σ = 68034931200. Its totient is φ = 7534952640.

The previous prime is 24905742307. The next prime is 24905742331. The reversal of 24905742312 is 21324750942.

It is a super-2 number, since 2×249057423122 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87213 + ... + 239619.

It is an arithmetic number, because the mean of its divisors is an integer number (1063045800).

Almost surely, 224905742312 is an apocalyptic number.

24905742312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24905742312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34017465600).

24905742312 is an abundant number, since it is smaller than the sum of its proper divisors (43129188888).

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

24905742312 is a wasteful number, since it uses less digits than its factorization.

24905742312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153046 (or 153042 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 24905742312 in words is "twenty-four billion, nine hundred five million, seven hundred forty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 619 1238 1857 2476 3714 4952 6809 7428 13618 14856 20427 27236 40854 54472 81708 152407 163416 304814 457221 609628 914442 1219256 1676477 1828884 3352954 3657768 5029431 6705908 10058862 13411816 20117724 40235448 94339933 188679866 283019799 377359732 566039598 754719464 1037739263 1132079196 2075478526 2264158392 3113217789 4150957052 6226435578 8301914104 12452871156 24905742312