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46606657046401 = 1716270916849517
BaseRepresentation
bin10101001100011011101010…
…01111001100011110000001
320010000112221001201121121001
422212031311033030132001
522102100413200441101
6243042445213132001
712550135260263404
oct1246156517143601
9203015831647531
1046606657046401
1113939854962561
12528882318a001
132000cb1800b6a
14b71aba713d3b
1555c52d195901
hex2a63753cc781

46606657046401 has 8 divisors (see below), whose sum is σ = 49348531328040. Its totient is φ = 43864816789248.

The previous prime is 46606657046381. The next prime is 46606657046431. The reversal of 46606657046401 is 10464075660664.

46606657046401 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 4 ways, for example, as 9766625025600 + 36840032020801 = 3125160^2 + 6069599^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 46606657046401 - 213 = 46606657038209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (46606657046431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5658706 + ... + 11190811.

It is an arithmetic number, because the mean of its divisors is an integer number (6168566416005).

Almost surely, 246606657046401 is an apocalyptic number.

It is an amenable number.

46606657046401 is a deficient number, since it is larger than the sum of its proper divisors (2741874281639).

46606657046401 is a wasteful number, since it uses less digits than its factorization.

46606657046401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17012243.

The product of its (nonzero) digits is 17418240, while the sum is 55.

The spelling of 46606657046401 in words is "forty-six trillion, six hundred six billion, six hundred fifty-seven million, forty-six thousand, four hundred one".

Divisors: 1 17 162709 2766053 16849517 286441789 2741568061553 46606657046401