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20344513265344 = 261778747994951
BaseRepresentation
bin1001010000000110100110…
…11111000111111011000000
32200000220202002221201001001
410220003103133013323000
510131311030343442334
6111134050153021344
74166562001325122
oct450032337077300
980026662851031
1020344513265344
1165340723a3434
122346aa03b4854
13b476302345b8
1450497312b212
1525431a38a714
hex1280d37c7ec0

20344513265344 has 112 divisors (see below), whose sum is σ = 42817796812800. Its totient is φ = 9557800243200.

The previous prime is 20344513265269. The next prime is 20344513265357. The reversal of 20344513265344 is 44356231544302.

It is a junction number, because it is equal to n+sod(n) for n = 20344513265294 and 20344513265303.

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, 4109170069 + ... + 4109175019.

Almost surely, 220344513265344 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 20344513265344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21408898406400).

20344513265344 is an abundant number, since it is smaller than the sum of its proper divisors (22473283547456).

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

20344513265344 is a wasteful number, since it uses less digits than its factorization.

20344513265344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10566 (or 10556 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 46.

The spelling of 20344513265344 in words is "twenty trillion, three hundred forty-four billion, five hundred thirteen million, two hundred sixty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 544 787 1088 1574 3148 4799 4951 6296 9598 9902 12592 13379 19196 19804 25184 26758 38392 39608 50368 53516 76784 79216 81583 84167 107032 153568 158432 163166 168334 214064 307136 316864 326332 336668 428128 652664 673336 856256 1305328 1346672 2610656 2693344 3776813 3896437 5221312 5386688 7553626 7792874 15107252 15585748 23759849 30214504 31171496 47519698 60429008 62342992 64205821 66239429 95039396 120858016 124685984 128411642 132478858 190078792 241716032 249371968 256823284 264957716 380157584 403917433 513646568 529915432 760315168 807834866 1027293136 1059830864 1520630336 1615669732 2054586272 2119661728 3231339464 4109172544 4239323456 6462678928 12925357856 18699001163 25850715712 37398002326 74796004652 149592009304 299184018608 317883019771 598368037216 635766039542 1196736074432 1271532079084 2543064158168 5086128316336 10172256632672 20344513265344