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13556110838848 = 26412159778901
BaseRepresentation
bin1100010101000100011100…
…1010111100110001000000
31202222221200200011012010121
43011101013022330301000
53234100403333320343
644455331421510024
72566253030626354
oct305210712746100
952887620135117
1013556110838848
114357129185986
12162b322112314
137744498aba86
1434c19539b464
1518795b38daed
hexc54472bcc40

13556110838848 has 84 divisors (see below), whose sum is σ = 27590132438116. Its totient is φ = 6608512512000.

The previous prime is 13556110838791. The next prime is 13556110838849. The reversal of 13556110838848 is 84883801165531.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 7153955897344 + 6402154941504 = 2674688^2 + 2530248^2 .

It is not an unprimeable number, because it can be changed into a prime (13556110838849) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 171772198 + ... + 171851098.

Almost surely, 213556110838848 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 13556110838848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13795066219058).

13556110838848 is an abundant number, since it is smaller than the sum of its proper divisors (14034021599268).

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

13556110838848 is an equidigital number, since it uses as much as digits as its factorization.

13556110838848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80592 (or 80541 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 61.

The spelling of 13556110838848 in words is "thirteen trillion, five hundred fifty-six billion, one hundred ten million, eight hundred thirty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 32 41 64 82 164 328 656 1312 1597 1681 2624 3194 3362 6388 6724 12776 13448 25552 26896 51104 53792 65477 78901 102208 107584 130954 157802 261908 315604 523816 631208 1047632 1262416 2095264 2524832 2684557 3234941 4190528 5049664 5369114 6469882 10738228 12939764 21476456 25879528 42952912 51759056 85905824 103518112 126004897 132632581 171811648 207036224 252009794 265265162 504019588 530530324 1008039176 1061060648 2016078352 2122121296 4032156704 4244242592 5166200777 8064313408 8488485184 10332401554 20664803108 41329606216 82659212432 165318424864 211814231857 330636849728 423628463714 847256927428 1694513854856 3389027709712 6778055419424 13556110838848