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12424313104 = 247196195713
BaseRepresentation
bin10111001001000101…
…11111100100010000
31012001212112111111121
423210202333210100
5200421111004404
65412504052024
7616612630120
oct134442774420
935055474447
1012424313104
1152a6223365
1224a8a64014
131230039778
1485c110c80
154cab37e54
hex2e48bf910

12424313104 has 80 divisors (see below), whose sum is σ = 29433969280. Its totient is φ = 4961710080.

The previous prime is 12424313087. The next prime is 12424313113. The reversal of 12424313104 is 40131342421.

It is a super-2 number, since 2×124243131042 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81952 + ... + 177664.

It is an arithmetic number, because the mean of its divisors is an integer number (367924616).

Almost surely, 212424313104 is an apocalyptic number.

12424313104 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 12424313104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14716984640).

12424313104 is an abundant number, since it is smaller than the sum of its proper divisors (17009656176).

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

12424313104 is a wasteful number, since it uses less digits than its factorization.

12424313104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95808 (or 95802 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 12424313104 its reverse (40131342421), we get a palindrome (52555655525).

The spelling of 12424313104 in words is "twelve billion, four hundred twenty-four million, three hundred thirteen thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 61 76 112 122 133 152 244 266 304 427 488 532 854 976 1064 1159 1708 2128 2318 3416 4636 6832 8113 9272 16226 18544 32452 64904 95713 129808 191426 382852 669991 765704 1339982 1531408 1818547 2679964 3637094 5359928 5838493 7274188 10719856 11676986 12729829 14548376 23353972 25459658 29096752 40869451 46707944 50919316 81738902 93415888 101838632 110931367 163477804 203677264 221862734 326955608 443725468 653911216 776519569 887450936 1553039138 1774901872 3106078276 6212156552 12424313104