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54338756600289 = 378032513221359
BaseRepresentation
bin11000101101011101110100…
…10010001110000111100001
321010101201211101011021120110
430112232322102032013201
524110241233142202124
6311322514041001533
714305563021134430
oct1426567222160741
9233351741137513
1054338756600289
111634aa34546427
12611726b7832a9
132442179921295
14d5c01d06b117
15643720a51029
hex316bba48e1e1

54338756600289 has 16 divisors (see below), whose sum is σ = 82802043607040. Its totient is φ = 31050669762000.

The previous prime is 54338756600281. The next prime is 54338756600299. The reversal of 54338756600289 is 98200665783345.

54338756600289 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 54338756600289 - 23 = 54338756600281 is a prime.

It is a super-2 number, since 2×543387566002892 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (54338756600281) 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, 15257592 + ... + 18478950.

It is an arithmetic number, because the mean of its divisors is an integer number (5175127725440).

Almost surely, 254338756600289 is an apocalyptic number.

It is an amenable number.

54338756600289 is a deficient number, since it is larger than the sum of its proper divisors (28463287006751).

54338756600289 is a wasteful number, since it uses less digits than its factorization.

54338756600289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4024620.

The product of its (nonzero) digits is 261273600, while the sum is 66.

The spelling of 54338756600289 in words is "fifty-four trillion, three hundred thirty-eight billion, seven hundred fifty-six million, six hundred thousand, two hundred eighty-nine".

Divisors: 1 3 7 21 803251 2409753 3221359 5622757 9664077 16868271 22549513 67648539 2587559838109 7762679514327 18112918866763 54338756600289