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4738353903 = 333713934123
BaseRepresentation
bin1000110100110110…
…11000101011101111
3110020020001022121000
410122123120223233
534201004311103
62102103211343
7225264225603
oct43233305357
913206038530
104738353903
11201174a468
12b02a46b53
135a689c30a
1432d433503
151caec1aa3
hex11a6d8aef

4738353903 has 32 divisors (see below), whose sum is σ = 7261587200. Its totient is φ = 3051325728.

The previous prime is 4738353881. The next prime is 4738353923. The reversal of 4738353903 is 3093538374.

It is not a de Polignac number, because 4738353903 - 26 = 4738353839 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4738353923) 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 31 ways as a sum of consecutive naturals, for example, 121800 + ... + 155922.

It is an arithmetic number, because the mean of its divisors is an integer number (226924600).

Almost surely, 24738353903 is an apocalyptic number.

4738353903 is a deficient number, since it is larger than the sum of its proper divisors (2523233297).

4738353903 is a wasteful number, since it uses less digits than its factorization.

4738353903 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34308 (or 34302 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The square root of 4738353903 is about 68835.7022409157. The cubic root of 4738353903 is about 1679.6127583238.

The spelling of 4738353903 in words is "four billion, seven hundred thirty-eight million, three hundred fifty-three thousand, nine hundred three".

Divisors: 1 3 9 27 37 111 139 333 417 999 1251 3753 5143 15429 34123 46287 102369 138861 307107 921321 1262551 3787653 4743097 11362959 14229291 34088877 42687873 128063619 175494589 526483767 1579451301 4738353903