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1100666105056 = 2579750656577
BaseRepresentation
bin10000000001000100110…
…011111110110011100000
310220020000022110102002101
4100001010303332303200
5121013131010330211
62201350010300144
7142343350345540
oct20010463766340
93806008412071
101100666105056
1139487635a641
12159396a27654
137ca3baaa88b
143b3b5b3b320
151d96e1ca5c1
hex10044cfece0

1100666105056 has 48 divisors (see below), whose sum is σ = 2502029700576. Its totient is φ = 466851004416.

The previous prime is 1100666105047. The next prime is 1100666105069. The reversal of 1100666105056 is 6505016660011.

It is a super-2 number, since 2×11006661050562 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25306561 + ... + 25350016.

It is an arithmetic number, because the mean of its divisors is an integer number (52125618762).

Almost surely, 21100666105056 is an apocalyptic number.

1100666105056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1100666105056 is an abundant number, since it is smaller than the sum of its proper divisors (1401363595520).

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

1100666105056 is an equidigital number, since it uses as much as digits as its factorization.

1100666105056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50656691 (or 50656683 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 37.

The spelling of 1100666105056 in words is "one trillion, one hundred billion, six hundred sixty-six million, one hundred five thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 97 112 194 224 388 679 776 1358 1552 2716 3104 5432 10864 21728 50656577 101313154 202626308 354596039 405252616 709192078 810505232 1418384156 1621010464 2836768312 4913687969 5673536624 9827375938 11347073248 19654751876 34395815783 39309503752 68791631566 78619007504 137583263132 157238015008 275166526264 550333052528 1100666105056