Search a number
-
+
11235511354112 = 28198950351599
BaseRepresentation
bin1010001101111111100010…
…1010011100001100000000
31110210002211002211001201022
42203133320222130030000
52433040311401312422
635521304521125012
72236511305520063
oct243377052341400
943702732731638
1011235511354112
113641a54283051
121315626029768
13636672895ca6
142abb31a328da
151473dc51b342
hexa37f8a9c300

11235511354112 has 144 divisors (see below), whose sum is σ = 23920686720000. Its totient is φ = 5251722043392.

The previous prime is 11235511354079. The next prime is 11235511354117. The reversal of 11235511354112 is 21145311553211.

It is not an unprimeable number, because it can be changed into a prime (11235511354117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217720889 + ... + 217772487.

It is an arithmetic number, because the mean of its divisors is an integer number (166115880000).

Almost surely, 211235511354112 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 11235511354112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11960343360000).

11235511354112 is an abundant number, since it is smaller than the sum of its proper divisors (12685175365888).

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

11235511354112 is an equidigital number, since it uses as much as digits as its factorization.

11235511354112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52226 (or 52212 counting only the distinct ones).

The product of its digits is 18000, while the sum is 35.

The spelling of 11235511354112 in words is "eleven trillion, two hundred thirty-five billion, five hundred eleven million, three hundred fifty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 64 76 89 128 152 178 256 304 356 503 608 712 1006 1216 1424 1691 2012 2432 2848 3382 4024 4864 5696 6764 8048 9557 11392 13528 16096 19114 22784 27056 32192 38228 44767 51599 54112 64384 76456 89534 103198 108224 128768 152912 179068 206396 216448 305824 358136 412792 432896 611648 716272 825584 850573 980381 1223296 1432544 1651168 1701146 1960762 2446592 2865088 3302336 3402292 3921524 4592311 5730176 6604672 6804584 7843048 9184622 11460352 13209344 13609168 15686096 18369244 25954297 27218336 31372192 36738488 51908594 54436672 62744384 73476976 87253909 103817188 108873344 125488768 146953952 174507818 207634376 217746688 250977536 293907904 349015636 415268752 493131643 587815808 698031272 830537504 986263286 1175631616 1396062544 1661075008 1972526572 2309932433 2792125088 3322150016 3945053144 4619864866 5584250176 6644300032 7890106288 9239729732 11168500352 15780212576 18479459464 22337000704 31560425152 36958918928 43888716227 63120850304 73917837856 87777432454 126241700608 147835675712 175554864908 295671351424 351109729816 591342702848 702219459632 1404438919264 2808877838528 5617755677056 11235511354112