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12455031424 = 271127971009
BaseRepresentation
bin10111001100110000…
…01011001010000000
31012011000100011010011
423212120023022000
5201001442001144
65415522314304
7620435006653
oct134630131200
935130304104
1012455031424
1153115a4500
1224b71b8994
1312365036a4
1486222989a
154cd6a4a34
hex2e660b280

12455031424 has 96 divisors (see below), whose sum is σ = 27334811700. Its totient is φ = 5648670720.

The previous prime is 12455031403. The next prime is 12455031431. The reversal of 12455031424 is 42413055421.

It can be written as a sum of positive squares in 2 ways, for example, as 12313897024 + 141134400 = 110968^2 + 11880^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12343432 + ... + 12344440.

Almost surely, 212455031424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12455031424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13667405850).

12455031424 is an abundant number, since it is smaller than the sum of its proper divisors (14879780276).

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

12455031424 is a wasteful number, since it uses less digits than its factorization.

12455031424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1842 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

Adding to 12455031424 its reverse (42413055421), we get a palindrome (54868086845).

The spelling of 12455031424 in words is "twelve billion, four hundred fifty-five million, thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 352 484 704 797 968 1009 1408 1594 1936 2018 3188 3872 4036 6376 7744 8072 8767 11099 12752 15488 16144 17534 22198 25504 32288 35068 44396 51008 64576 70136 88792 96437 102016 122089 129152 140272 177584 192874 244178 280544 355168 385748 488356 561088 710336 771496 804173 976712 1122176 1420672 1542992 1608346 1953424 3085984 3216692 3906848 6171968 6433384 7813696 8845903 12343936 12866768 15627392 17691806 25733536 35383612 51467072 70767224 97304933 102934144 141534448 194609866 283068896 389219732 566137792 778439464 1132275584 1556878928 3113757856 6227515712 12455031424