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545652256545 = 3351131371092939
BaseRepresentation
bin1111111000010110110…
…10001010111100100001
31221011102102222122002000
413330023122022330201
532414443434202140
61054400313314213
754264525440244
oct7741332127441
91834372878060
10545652256545
111a0456523540
1289901a05969
133c5bb223026
141c5a435d25b
15e2d8962a30
hex7f0b68af21

545652256545 has 256 divisors, whose sum is σ = 1132572672000. Its totient is φ = 246735590400.

The previous prime is 545652256477. The next prime is 545652256549.

It is a happy number.

545652256545 is a `hidden beast` number, since 5 + 4 + 56 + 5 + 22 + 565 + 4 + 5 = 666.

545652256545 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 545652256545 - 27 = 545652256417 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 545652256491 and 545652256500.

It is not an unprimeable number, because it can be changed into a prime (545652256549) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 185657686 + ... + 185660624.

It is an arithmetic number, because the mean of its divisors is an integer number (4424112000).

Almost surely, 2545652256545 is an apocalyptic number.

545652256545 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

545652256545 is an abundant number, since it is smaller than the sum of its proper divisors (586920415455).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

545652256545 is a wasteful number, since it uses less digits than its factorization.

545652256545 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3141 (or 3135 counting only the distinct ones).

The product of its digits is 36000000, while the sum is 54.

The spelling of 545652256545 in words is "five hundred forty-five billion, six hundred fifty-two million, two hundred fifty-six thousand, five hundred forty-five".