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13461806813 = 7131760114479
BaseRepresentation
bin11001000100110001…
…01101111011011101
31021202011202122022112
430202120231323131
5210032210304223
610103445123405
7654411320120
oct144230557335
937664678275
1013461806813
115788925784
1227383b9565
131366c73780
14919c1c3b7
1553bc73778
hex32262dedd

13461806813 has 32 divisors (see below), whose sum is σ = 17573391360. Its totient is φ = 10007193600.

The previous prime is 13461806749. The next prime is 13461806819. The reversal of 13461806813 is 31860816431.

It is a cyclic number.

It is not a de Polignac number, because 13461806813 - 26 = 13461806749 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13461806819) 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, 922508 + ... + 936986.

It is an arithmetic number, because the mean of its divisors is an integer number (549168480).

Almost surely, 213461806813 is an apocalyptic number.

13461806813 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13461806813 is a deficient number, since it is larger than the sum of its proper divisors (4111584547).

13461806813 is a wasteful number, since it uses less digits than its factorization.

13461806813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15117.

The product of its (nonzero) digits is 82944, while the sum is 41.

The spelling of 13461806813 in words is "thirteen billion, four hundred sixty-one million, eight hundred six thousand, eight hundred thirteen".

Divisors: 1 7 13 17 91 119 221 601 1547 4207 7813 10217 14479 54691 71519 101353 132821 188227 246143 929747 1317589 1723001 3199859 8701879 22399013 60913153 113124427 147931943 791870989 1035523601 1923115259 13461806813