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1146116411 = 111933671471
BaseRepresentation
bin100010001010000…
…0101100100111011
32221212121202010222
41010110011210323
54321401211121
6305421130255
740254554156
oct10424054473
92855552128
101146116411
11538a53250
1227b9b998b
131535a94bb
14ac304c9d
156a9450ab
hex4450593b

1146116411 has 16 divisors (see below), whose sum is σ = 1261068288. Its totient is φ = 1032998400.

The previous prime is 1146116327. The next prime is 1146116441.

1146116411 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 1146116411 - 210 = 1146115387 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1146116441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 778406 + ... + 779876.

It is an arithmetic number, because the mean of its divisors is an integer number (78816768).

Almost surely, 21146116411 is an apocalyptic number.

1146116411 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1146116411 is a deficient number, since it is larger than the sum of its proper divisors (114951877).

1146116411 is a wasteful number, since it uses less digits than its factorization.

1146116411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2042.

The product of its digits is 576, while the sum is 26.

The square root of 1146116411 is about 33854.3410953455. The cubic root of 1146116411 is about 1046.5088620441.

It can be divided in two parts, 11461 and 16411, that added together give a palindrome (27872).

The spelling of 1146116411 in words is "one billion, one hundred forty-six million, one hundred sixteen thousand, four hundred eleven".

Divisors: 1 11 193 367 1471 2123 4037 16181 70831 283903 539857 779141 3122933 5938427 104192401 1146116411