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11091560199841 = 1131371682952237
BaseRepresentation
bin1010000101100111010010…
…0000010111011010100001
31110021100020220022202021001
42201121310200113122201
52423211003402343331
635331220432232001
72223224126063422
oct241316440273241
943240226282231
1011091560199841
1135969a4638260
1212b175109b601
13625c115554b4
142a4b97767649
151437b49c2561
hexa16748176a1

11091560199841 has 32 divisors (see below), whose sum is σ = 12828783559680. Its totient is φ = 9493496006400.

The previous prime is 11091560199827. The next prime is 11091560199851. The reversal of 11091560199841 is 14899106519011.

It is a cyclic number.

It is not a de Polignac number, because 11091560199841 - 29 = 11091560199329 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11091560199851) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 212305375 + ... + 212357611.

It is an arithmetic number, because the mean of its divisors is an integer number (400899486240).

Almost surely, 211091560199841 is an apocalyptic number.

11091560199841 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11091560199841 is a deficient number, since it is larger than the sum of its proper divisors (1737223359839).

11091560199841 is a wasteful number, since it uses less digits than its factorization.

11091560199841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69145.

The product of its (nonzero) digits is 699840, while the sum is 55.

It can be divided in two parts, 110915 and 60199841, that added together give a square (60310756 = 77662).

The spelling of 11091560199841 in words is "eleven trillion, ninety-one billion, five hundred sixty million, one hundred ninety-nine thousand, eight hundred forty-one".

Divisors: 1 11 31 37 341 407 1147 12617 16829 52237 185119 521699 574607 622673 1619347 1932769 5738689 6849403 17812817 19302863 21260459 59915839 212331493 659074229 879096473 9670061203 27251990663 32526569501 299771897293 357792264511 1008323654531 11091560199841