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11204044046064 = 24322912012233939
BaseRepresentation
bin1010001100001010010100…
…0100001011111011110000
31110200002121002112012002200
42203002211010023323300
52432031340233433224
635455022231343200
72234315441023152
oct243024504137360
943602532465080
1011204044046064
11362a676858841
12130b503821b00
136336c9516c9c
142aa3c8794ad2
15146699ba45c9
hexa30a510bef0

11204044046064 has 120 divisors (see below), whose sum is σ = 32464018189200. Its totient is φ = 3602895206400.

The previous prime is 11204044046011. The next prime is 11204044046071. The reversal of 11204044046064 is 46064044040211.

11204044046064 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 4 + 0 + 4 + 40 + 4 + 606 + 4 = 666.

It is a super-2 number, since 2×112040440460642 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3898407 + ... + 6132345.

It is an arithmetic number, because the mean of its divisors is an integer number (270533484910).

Almost surely, 211204044046064 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 11204044046064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16232009094600).

11204044046064 is an abundant number, since it is smaller than the sum of its proper divisors (21259974143136).

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

11204044046064 is a wasteful number, since it uses less digits than its factorization.

11204044046064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2235183 (or 2235174 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 11204044046064 its reverse (46064044040211), we get a palindrome (57268088086275).

The spelling of 11204044046064 in words is "eleven trillion, two hundred four billion, forty-four million, forty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1201 1392 2088 2402 3603 4176 4804 7206 9608 10809 14412 19216 21618 28824 34829 43236 57648 69658 86472 104487 139316 172944 208974 278632 313461 417948 557264 626922 835896 1253844 1671792 2233939 2507688 4467878 5015376 6701817 8935756 13403634 17871512 20105451 26807268 35743024 40210902 53614536 64784231 80421804 107229072 129568462 160843608 194352693 259136924 321687216 388705386 518273848 583058079 777410772 1036547696 1166116158 1554821544 2332232316 2682960739 3109643088 4664464632 5365921478 8048882217 9328929264 10731842956 16097764434 21463685912 24146646651 32195528868 42927371824 48293293302 64391057736 77805861431 96586586604 128782115472 155611722862 193173173208 233417584293 311223445724 386346346416 466835168586 622446891448 700252752879 933670337172 1244893782896 1400505505758 1867340674344 2801011011516 3734681348688 5602022023032 11204044046064