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11782366790441 = 132310922424621
BaseRepresentation
bin1010101101110100101111…
…0010011000001100101001
31112201101100101210120011112
42223131023302120030221
53021020241344243231
641020424455040105
72324151014161202
oct253351362301451
945641311716145
1011782366790441
113832967984345
1213a3602970035
136760c3154900
142ca3abaac5a9
151567468e692b
hexab74bc98329

11782366790441 has 12 divisors (see below), whose sum is σ = 12762525118860. Its totient is φ = 10872532157760.

The previous prime is 11782366790399. The next prime is 11782366790443. The reversal of 11782366790441 is 14409766328711.

11782366790441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 3155099587600 + 8627267202841 = 1776260^2 + 2937221^2 .

It is a de Polignac number, because none of the positive numbers 2k-11782366790441 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11782366790443) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10686890 + ... + 11737731.

It is an arithmetic number, because the mean of its divisors is an integer number (1063543759905).

Almost surely, 211782366790441 is an apocalyptic number.

It is an amenable number.

11782366790441 is a deficient number, since it is larger than the sum of its proper divisors (980158328419).

11782366790441 is a wasteful number, since it uses less digits than its factorization.

11782366790441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22427756 (or 22427743 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 59.

The spelling of 11782366790441 in words is "eleven trillion, seven hundred eighty-two billion, three hundred sixty-six million, seven hundred ninety thousand, four hundred forty-one".

Divisors: 1 13 169 3109 40417 525421 22424621 291520073 3789760949 69718146689 906335906957 11782366790441