Search a number
-
+
384220051729 = 2993714139773
BaseRepresentation
bin1011001011101010100…
…11001011100100010001
31100201201221210221102021
411211311103023210101
522243340313123404
6452301441051441
736521221360633
oct5456523134421
91321657727367
10384220051729
11138a46225738
126256a626b81
132a302340247
141484c552a53
159edb3bd454
hex59754cb911

384220051729 has 8 divisors (see below), whose sum is σ = 397893240360. Its totient is φ = 370575144576.

The previous prime is 384220051703. The next prime is 384220051757. The reversal of 384220051729 is 927150022483.

It can be written as a sum of positive squares in 4 ways, for example, as 14467278400 + 369752773329 = 120280^2 + 608073^2 .

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 384220051729 - 29 = 384220051217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (384220021729) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 7042714 + ... + 7097059.

It is an arithmetic number, because the mean of its divisors is an integer number (49736655045).

Almost surely, 2384220051729 is an apocalyptic number.

It is an amenable number.

384220051729 is a deficient number, since it is larger than the sum of its proper divisors (13673188631).

384220051729 is a wasteful number, since it uses less digits than its factorization.

384220051729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14140739.

The product of its (nonzero) digits is 241920, while the sum is 43.

The spelling of 384220051729 in words is "three hundred eighty-four billion, two hundred twenty million, fifty-one thousand, seven hundred twenty-nine".

Divisors: 1 29 937 27173 14139773 410053417 13248967301 384220051729