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13436457161 = 172973373349
BaseRepresentation
bin11001000001110000…
…00001000011001001
31021200102001202010112
430200320001003021
5210004213112121
610101141524105
7653653000331
oct144070010311
937612052115
1013436457161
115775591156
12272ba13635
13136193938a
149167000c1
1553991775b
hex320e010c9

13436457161 has 16 divisors (see below), whose sum is σ = 14919066000. Its totient is φ = 12042713088.

The previous prime is 13436457143. The next prime is 13436457163. The reversal of 13436457161 is 16175463431.

It can be written as a sum of positive squares in 8 ways, for example, as 2774655625 + 10661801536 = 52675^2 + 103256^2 .

It is a cyclic number.

It is not a de Polignac number, because 13436457161 - 214 = 13436440777 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13436457163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150686 + ... + 222663.

It is an arithmetic number, because the mean of its divisors is an integer number (932441625).

Almost surely, 213436457161 is an apocalyptic number.

It is an amenable number.

13436457161 is a deficient number, since it is larger than the sum of its proper divisors (1482608839).

13436457161 is a wasteful number, since it uses less digits than its factorization.

13436457161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373468.

The product of its digits is 181440, while the sum is 41.

The spelling of 13436457161 in words is "thirteen billion, four hundred thirty-six million, four hundred fifty-seven thousand, one hundred sixty-one".

Divisors: 1 17 29 73 493 1241 2117 35989 373349 6346933 10827121 27254477 184061057 463326109 790379833 13436457161