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54122422145 = 511289458549
BaseRepresentation
bin110010011001111100…
…101001111110000001
312011200212212220200112
4302121330221332001
51341320320002040
640510303201105
73624126666131
oct623174517601
9164625786615
1054122422145
1120a53772900
12a5a55a6195
135146b5597c
142896030ac1
15161b74d365
hexc99f29f81

54122422145 has 12 divisors (see below), whose sum is σ = 71387922900. Its totient is φ = 39361761120.

The previous prime is 54122422121. The next prime is 54122422169.

54122422145 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (54122422121) and next prime (54122422169).

It can be written as a sum of positive squares in 2 ways, for example, as 19759643761 + 34362778384 = 140569^2 + 185372^2 .

It is not a de Polignac number, because 54122422145 - 214 = 54122405761 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44728670 + ... + 44729879.

It is an arithmetic number, because the mean of its divisors is an integer number (5948993575).

Almost surely, 254122422145 is an apocalyptic number.

54122422145 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54122422145 is a deficient number, since it is larger than the sum of its proper divisors (17265500755).

54122422145 is a wasteful number, since it uses less digits than its factorization.

54122422145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89458576 (or 89458565 counting only the distinct ones).

The product of its digits is 25600, while the sum is 32.

The spelling of 54122422145 in words is "fifty-four billion, one hundred twenty-two million, four hundred twenty-two thousand, one hundred forty-five".

Divisors: 1 5 11 55 121 605 89458549 447292745 984044039 4920220195 10824484429 54122422145