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54126152652533 = 1337317354979129
BaseRepresentation
bin11000100111010001110100…
…00110100001011011110101
321002122102001122022201011012
430103220322012201123311
524043300330034340113
6311041113344322005
714254325343323153
oct1423507206413365
9232572048281135
1054126152652533
1116278855119785
1260a2017013305
1324280c72bbb70
14d51a110783d3
1563ce2ad0daa8
hex313a3a1a16f5

54126152652533 has 16 divisors (see below), whose sum is σ = 60053949296880. Its totient is φ = 48458910721536.

The previous prime is 54126152652529. The next prime is 54126152652557. The reversal of 54126152652533 is 33525625162145.

54126152652533 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 8 ways, for example, as 13364274095524 + 40761878557009 = 3655718^2 + 6384503^2 .

It is a cyclic number.

It is not a de Polignac number, because 54126152652533 - 22 = 54126152652529 is a prime.

It is a super-2 number, since 2×541261526525332 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54126152652503) 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 15 ways as a sum of consecutive naturals, for example, 177337088 + ... + 177642041.

It is an arithmetic number, because the mean of its divisors is an integer number (3753371831055).

Almost surely, 254126152652533 is an apocalyptic number.

It is an amenable number.

54126152652533 is a deficient number, since it is larger than the sum of its proper divisors (5927796644347).

54126152652533 is a wasteful number, since it uses less digits than its factorization.

54126152652533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354979496.

The product of its digits is 6480000, while the sum is 50.

The spelling of 54126152652533 in words is "fifty-four trillion, one hundred twenty-six billion, one hundred fifty-two million, six hundred fifty-two thousand, five hundred thirty-three".

Divisors: 1 13 37 317 481 4121 11729 152477 354979129 4614728677 13134227773 112528383893 170744961049 1462868990609 4163550204041 54126152652533