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12541488652 = 22721124124137
BaseRepresentation
bin10111010111000011…
…11110111000001100
31012101001000122010201
423223201332320030
5201141110114102
65432251343244
7622534615600
oct135341767014
935331018121
1012541488652
115356386060
122520151b24
13124b3b4c04
1486d8d3500
154d6081987
hex2eb87ee0c

12541488652 has 72 divisors (see below), whose sum is σ = 27968604048. Its totient is φ = 4865817600.

The previous prime is 12541488649. The next prime is 12541488671. The reversal of 12541488652 is 25688414521.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 507528 + ... + 531664.

It is an arithmetic number, because the mean of its divisors is an integer number (388452834).

Almost surely, 212541488652 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 12541488652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13984302024).

12541488652 is an abundant number, since it is smaller than the sum of its proper divisors (15427115396).

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

12541488652 is a wasteful number, since it uses less digits than its factorization.

12541488652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24407 (or 24398 counting only the distinct ones).

The product of its digits is 614400, while the sum is 46.

The spelling of 12541488652 in words is "twelve billion, five hundred forty-one million, four hundred eighty-eight thousand, six hundred fifty-two".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 154 196 241 308 482 539 964 1078 1687 2156 2651 3374 5302 6748 10604 11809 18557 23618 24137 37114 47236 48274 74228 96548 129899 168959 259798 265507 337918 519596 531014 675836 1062028 1182713 1858549 2365426 3717098 4730852 5817017 7434196 11634034 13009843 23268068 26019686 40719119 52039372 63987187 81438238 127974374 162876476 255948748 285033833 447910309 570067666 895820618 1140135332 1791641236 3135372163 6270744326 12541488652