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11120656052064 = 2531324773597409
BaseRepresentation
bin1010000111010011101011…
…0000001110111101100000
31110101010100122022012001110
42201310322300032331200
52424200100422131224
635352431525303320
72225304136540056
oct241647260167540
943333318265043
1011120656052064
1135a8275476719
1212b7311264b40
1362889a500cc0
142a6357a961d6
15144419050929
hexa1d3ac0ef60

11120656052064 has 96 divisors (see below), whose sum is σ = 31449939625440. Its totient is φ = 3420357967872.

The previous prime is 11120656052047. The next prime is 11120656052117. The reversal of 11120656052064 is 46025065602111.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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, 1292592 + ... + 4890000.

It is an arithmetic number, because the mean of its divisors is an integer number (327603537765).

Almost surely, 211120656052064 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 11120656052064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15724969812720).

11120656052064 is an abundant number, since it is smaller than the sum of its proper divisors (20329283573376).

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

11120656052064 is a wasteful number, since it uses less digits than its factorization.

11120656052064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3599912 (or 3599904 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 11120656052064 in words is "eleven trillion, one hundred twenty billion, six hundred fifty-six million, fifty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 2477 4954 7431 9908 14862 19816 29724 32201 39632 59448 64402 79264 96603 118896 128804 193206 237792 257608 386412 515216 772824 1030432 1545648 3091296 3597409 7194818 10792227 14389636 21584454 28779272 43168908 46766317 57558544 86337816 93532634 115117088 140298951 172675632 187065268 280597902 345351264 374130536 561195804 748261072 1122391608 1496522144 2244783216 4489566432 8910782093 17821564186 26732346279 35643128372 53464692558 71286256744 106929385116 115840167209 142572513488 213858770232 231680334418 285145026976 347520501627 427717540464 463360668836 695041003254 855435080928 926721337672 1390082006508 1853442675344 2780164013016 3706885350688 5560328026032 11120656052064