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11972799727911 = 3211188964021901
BaseRepresentation
bin1010111000111010001001…
…1110011000100100100111
31120101120212222222010002200
42232032202132120210213
53032130243212243121
641244121145505543
72344002065346501
oct256164236304447
946346788863080
1011972799727911
1138a66aa3528a0
1214144aa4a22b3
1368b05138ac29
142d56b5326d71
1515b68eecaa26
hexae3a2798927

11972799727911 has 24 divisors (see below), whose sum is σ = 18876217585680. Its totient is φ = 7252400832000.

The previous prime is 11972799727787. The next prime is 11972799727981.

11972799727911 is a `hidden beast` number, since 1 + 197 + 2 + 79 + 97 + 279 + 11 = 666.

11972799727911 is nontrivially palindromic in base 10.

11972799727911 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11972799727911 - 211 = 11972799725863 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11972799727911.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11972799727981) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31823940 + ... + 32197961.

It is an arithmetic number, because the mean of its divisors is an integer number (786509066070).

Almost surely, 211972799727911 is an apocalyptic number.

11972799727911 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11972799727911 is a deficient number, since it is larger than the sum of its proper divisors (6903417857769).

11972799727911 is a wasteful number, since it uses less digits than its factorization.

11972799727911 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64023807 (or 64023804 counting only the distinct ones).

The product of its digits is 63011844, while the sum is 72.

The spelling of 11972799727911 in words is "eleven trillion, nine hundred seventy-two billion, seven hundred ninety-nine million, seven hundred twenty-seven thousand, nine hundred eleven".

Divisors: 1 3 9 11 33 99 1889 5667 17001 20779 62337 187011 64021901 192065703 576197109 704240911 2112722733 6338168199 120937370989 362812112967 1088436338901 1330311080879 3990933242637 11972799727911