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4991705104 = 2417210392
BaseRepresentation
bin1001010011000011…
…10110000000010000
3110212212202220002211
410221201312000100
540210334030404
62143153321504
7234461536051
oct45141660020
913785686084
104991705104
112131761a21
12b73866294
13617216179
14354d42728
151e3368b04
hex129876010

4991705104 has 45 divisors (see below), whose sum is σ = 10283699037. Its totient is φ = 2346776832.

The previous prime is 4991705071. The next prime is 4991705107. The reversal of 4991705104 is 4015071994.

The square root of 4991705104 is 70652.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3886275600 + 1105429504 = 62340^2 + 33248^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4991705107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4803817 + ... + 4804855.

Almost surely, 24991705104 is an apocalyptic number.

4991705104 is the 70652-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4991705104

4991705104 is an abundant number, since it is smaller than the sum of its proper divisors (5291993933).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4991705104 is an equidigital number, since it uses as much as digits as its factorization.

4991705104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2120 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 40.

The cubic root of 4991705104 is about 1709.0298184386.

The spelling of 4991705104 in words is "four billion, nine hundred ninety-one million, seven hundred five thousand, one hundred four".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 578 1039 1156 2078 2312 4156 4624 8312 16624 17663 35326 70652 141304 282608 300271 600542 1079521 1201084 2159042 2402168 4318084 4804336 8636168 17272336 18351857 36703714 73407428 146814856 293629712 311981569 623963138 1247926276 2495852552 4991705104