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11004037461641 = 717413044974071
BaseRepresentation
bin1010000000100001001110…
…1111100111011010001001
31102221222100021211222110202
42200020103233213122021
52420242232042233031
635223103544221545
72214005210063450
oct240102357473211
942858307758422
1011004037461641
1135628712aa674
1212987a5a6a8b5
1361a8a3a30b03
142a085387bb97
15141390d7e2cb
hexa0213be7689

11004037461641 has 32 divisors (see below), whose sum is σ = 13641218035200. Its totient is φ = 8660288102400.

The previous prime is 11004037461631. The next prime is 11004037461643. The reversal of 11004037461641 is 14616473040011.

It is a cyclic number.

It is not a de Polignac number, because 11004037461641 - 230 = 11002963719817 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11004037461595 and 11004037461604.

It is not an unprimeable number, because it can be changed into a prime (11004037461643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148523636 + ... + 148597706.

It is an arithmetic number, because the mean of its divisors is an integer number (426288063600).

Almost surely, 211004037461641 is an apocalyptic number.

It is an amenable number.

11004037461641 is a deficient number, since it is larger than the sum of its proper divisors (2637180573559).

11004037461641 is a wasteful number, since it uses less digits than its factorization.

11004037461641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104585.

The product of its (nonzero) digits is 48384, while the sum is 38.

The spelling of 11004037461641 in words is "eleven trillion, four billion, thirty-seven million, four hundred sixty-one thousand, six hundred forty-one".

Divisors: 1 7 17 41 119 287 697 4879 30449 74071 213143 517633 518497 1248409 1259207 3036911 3623431 8738863 8814449 21222953 21258377 51627487 148560671 361392409 2255387879 15787715153 38341593943 92470903039 268391157601 647296321273 1572005351663 11004037461641