Search a number
-
+
54386668345 = 5171307489551
BaseRepresentation
bin110010101001101100…
…101011001100111001
312012101022010000022211
4302221230223030321
51342340441341340
640552423015121
73633516024202
oct625154531471
9165338100284
1054386668345
1121079946999
12a659b9a4a1
135189815879
1428bd1785a9
151634a485ea
hexca9b2b339

54386668345 has 16 divisors (see below), whose sum is σ = 69156073728. Its totient is φ = 40918547200.

The previous prime is 54386668327. The next prime is 54386668361.

54386668345 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-54386668345 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 54386668345.

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 15 ways as a sum of consecutive naturals, for example, 133681 + ... + 355870.

It is an arithmetic number, because the mean of its divisors is an integer number (4322254608).

Almost surely, 254386668345 is an apocalyptic number.

It is an amenable number.

54386668345 is a deficient number, since it is larger than the sum of its proper divisors (14769405383).

54386668345 is a wasteful number, since it uses less digits than its factorization.

54386668345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490880.

The product of its digits is 49766400, while the sum is 58.

The spelling of 54386668345 in words is "fifty-four billion, three hundred eighty-six million, six hundred sixty-eight thousand, three hundred forty-five".

Divisors: 1 5 17 85 1307 6535 22219 111095 489551 2447755 8322367 41611835 639843157 3199215785 10877333669 54386668345