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54106624142101 = 64879798339519
BaseRepresentation
bin11000100110101101011100…
…00111001010101100010101
321002120112122122222121000001
430103112232013022230111
524042440331240021401
6311024123500451301
714253034404610336
oct1423265607125425
9232515578877001
1054106624142101
1116270543853863
12609a286b49b31
1324263044c634b
14d50abb64628d
1563c686678601
hex3135ae1cab15

54106624142101 has 4 divisors (see below), whose sum is σ = 54106638969600. Its totient is φ = 54106609314604.

The previous prime is 54106624142063. The next prime is 54106624142141. The reversal of 54106624142101 is 10124142660145.

54106624142101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 54106624142101 - 29 = 54106624141589 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54106624142141) 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 3 ways as a sum of consecutive naturals, for example, 2318220 + ... + 10657738.

It is an arithmetic number, because the mean of its divisors is an integer number (13526659742400).

Almost surely, 254106624142101 is an apocalyptic number.

It is an amenable number.

54106624142101 is a deficient number, since it is larger than the sum of its proper divisors (14827499).

54106624142101 is an equidigital number, since it uses as much as digits as its factorization.

54106624142101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14827498.

The product of its (nonzero) digits is 46080, while the sum is 37.

The spelling of 54106624142101 in words is "fifty-four trillion, one hundred six billion, six hundred twenty-four million, one hundred forty-two thousand, one hundred one".

Divisors: 1 6487979 8339519 54106624142101