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5466346436645 = 54137977022677
BaseRepresentation
bin100111110001011101110…
…1000110011100000100101
3201100120121002012200120022
41033202323220303200211
51204030034141433040
615343112131044525
71102634106032453
oct117427350634045
921316532180508
105466346436645
1118182a0068786
127434b8440745
13308621c34833
1414c80322b9d3
15972d3ad86b5
hex4f8bba33825

5466346436645 has 16 divisors (see below), whose sum is σ = 6721377023088. Its totient is φ = 4265292495360.

The previous prime is 5466346436633. The next prime is 5466346436657.

5466346436645 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (5466346436633) and next prime (5466346436657).

It can be written as a sum of positive squares in 8 ways, for example, as 552419076001 + 4913927360644 = 743249^2 + 2216738^2 .

It is not a de Polignac number, because 5466346436645 - 214 = 5466346420261 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2732954 + ... + 4289723.

It is an arithmetic number, because the mean of its divisors is an integer number (420086063943).

Almost surely, 25466346436645 is an apocalyptic number.

It is an amenable number.

5466346436645 is a deficient number, since it is larger than the sum of its proper divisors (1255030586443).

5466346436645 is a wasteful number, since it uses less digits than its factorization.

5466346436645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7026520.

The product of its digits is 447897600, while the sum is 62.

The spelling of 5466346436645 in words is "five trillion, four hundred sixty-six billion, three hundred forty-six million, four hundred thirty-six thousand, six hundred forty-five".

Divisors: 1 5 41 205 3797 18985 155677 778385 7022677 35113385 287929757 1439648785 26665104569 133325522845 1093269287329 5466346436645