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12464222496 = 2531111803241
BaseRepresentation
bin10111001101110110…
…01111000100100000
31012011122122002220020
423212323033010200
5201011320104441
65420451313440
7620606100045
oct134673170440
935148562806
1012464222496
115316801930
1224ba2ab880
1312383a0cab
1486353d1cc
154ce3bce66
hex2e6ecf120

12464222496 has 48 divisors (see below), whose sum is σ = 35693003808. Its totient is φ = 3777036800.

The previous prime is 12464222479. The next prime is 12464222501. The reversal of 12464222496 is 69422246421.

12464222496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5900565 + ... + 5902676.

It is an arithmetic number, because the mean of its divisors is an integer number (743604246).

Almost surely, 212464222496 is an apocalyptic number.

12464222496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12464222496 is an abundant number, since it is smaller than the sum of its proper divisors (23228781312).

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

12464222496 is a wasteful number, since it uses less digits than its factorization.

12464222496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11803265 (or 11803257 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The spelling of 12464222496 in words is "twelve billion, four hundred sixty-four million, two hundred twenty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 11803241 23606482 35409723 47212964 70819446 94425928 129835651 141638892 188851856 259671302 283277784 377703712 389506953 519342604 566555568 779013906 1038685208 1133111136 1558027812 2077370416 3116055624 4154740832 6232111248 12464222496