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12471420024 = 23327226313441
BaseRepresentation
bin10111001110101101…
…01100010001111000
31012012011011210001100
423213112230101320
5201020140420044
65421305451400
7621024215100
oct134726542170
935164153040
1012471420024
11531a8784a8
1225007a0b60
131239a2109b
14864494200
154ced40869
hex2e75ac478

12471420024 has 144 divisors (see below), whose sum is σ = 39443667120. Its totient is φ = 3549450240.

The previous prime is 12471420011. The next prime is 12471420067. The reversal of 12471420024 is 42002417421.

It is a self number, because there is not a number n which added to its sum of digits gives 12471420024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 921144 + ... + 934584.

It is an arithmetic number, because the mean of its divisors is an integer number (273914355).

Almost surely, 212471420024 is an apocalyptic number.

12471420024 is a gapful number since it is divisible by the number (14) 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 12471420024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19721833560).

12471420024 is an abundant number, since it is smaller than the sum of its proper divisors (26972247096).

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

12471420024 is a wasteful number, since it uses less digits than its factorization.

12471420024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13730 (or 13716 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

Adding to 12471420024 its reverse (42002417421), we get a palindrome (54473837445).

The spelling of 12471420024 in words is "twelve billion, four hundred seventy-one million, four hundred twenty thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 263 294 392 441 504 526 588 789 882 1052 1176 1578 1764 1841 2104 2367 3156 3528 3682 4734 5523 6312 7364 9468 11046 12887 13441 14728 16569 18936 22092 25774 26882 33138 38661 40323 44184 51548 53764 66276 77322 80646 94087 103096 107528 115983 120969 132552 154644 161292 188174 231966 241938 282261 309288 322584 376348 463932 483876 564522 658609 752696 846783 927864 967752 1129044 1317218 1693566 1975827 2258088 2634436 3387132 3534983 3951654 5268872 5927481 6774264 7069966 7903308 10604949 11854962 14139932 15806616 21209898 23709924 24744881 28279864 31814847 42419796 47419848 49489762 63629694 74234643 84839592 98979524 127259388 148469286 173214167 197959048 222703929 254518776 296938572 346428334 445407858 519642501 593877144 692856668 890815716 1039285002 1385713336 1558927503 1781631432 2078570004 3117855006 4157140008 6235710012 12471420024