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12744227556040 = 235417770870461
BaseRepresentation
bin1011100101110011111100…
…1010000000101011001000
31200010100002010112010200111
42321130333022000223020
53132300134223243130
643034341201244104
72453511560610061
oct271347712005310
950110063463614
1012744227556040
114073884239a02
121519b00033634
13715a10a15516
14320b76b1b568
1517178ebd402a
hexb973f280ac8

12744227556040 has 32 divisors (see below), whose sum is σ = 29373890346360. Its totient is φ = 4973357094400.

The previous prime is 12744227556023. The next prime is 12744227556043. The reversal of 12744227556040 is 4065572244721.

It can be written as a sum of positive squares in 4 ways, for example, as 8755172059396 + 3989055496644 = 2958914^2 + 1997262^2 .

It is not an unprimeable number, because it can be changed into a prime (12744227556043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3885433591 + ... + 3885436870.

Almost surely, 212744227556040 is an apocalyptic number.

12744227556040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12744227556040 is an abundant number, since it is smaller than the sum of its proper divisors (16629662790320).

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

12744227556040 is a wasteful number, since it uses less digits than its factorization.

12744227556040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7770870513 (or 7770870509 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 49.

The spelling of 12744227556040 in words is "twelve trillion, seven hundred forty-four billion, two hundred twenty-seven million, five hundred fifty-six thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1640 7770870461 15541740922 31083481844 38854352305 62166963688 77708704610 155417409220 310834818440 318605688901 637211377802 1274422755604 1593028444505 2548845511208 3186056889010 6372113778020 12744227556040