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54106451673311 = 367331994440767
BaseRepresentation
bin11000100110101101000111…
…10101010000000011011111
321002120112012122110021022002
430103112203311100003133
524042440003112021221
6311024054420112515
714253030211630022
oct1423264365200337
9232515178407262
1054106451673311
1116270465465474
12609a23923573b
1324262a785b3cb
14d50aa278d1b9
1563c67645b80b
hex3135a3d500df

54106451673311 has 8 divisors (see below), whose sum is σ = 54255527116800. Its totient is φ = 53957385178488.

The previous prime is 54106451673289. The next prime is 54106451673331. The reversal of 54106451673311 is 11337615460145.

54106451673311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a cyclic number.

It is not a de Polignac number, because 54106451673311 - 26 = 54106451673247 is a prime.

It is a super-2 number, since 2×541064516733112 (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 (54106451673331) 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, 9963650 + ... + 14404416.

It is an arithmetic number, because the mean of its divisors is an integer number (6781940889600).

Almost surely, 254106451673311 is an apocalyptic number.

54106451673311 is a deficient number, since it is larger than the sum of its proper divisors (149075443489).

54106451673311 is a wasteful number, since it uses less digits than its factorization.

54106451673311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4474333.

The product of its (nonzero) digits is 907200, while the sum is 47.

The spelling of 54106451673311 in words is "fifty-four trillion, one hundred six billion, four hundred fifty-one million, six hundred seventy-three thousand, three hundred eleven".

Divisors: 1 367 33199 4440767 12184033 1629761489 147429023633 54106451673311