Search a number
-
+
4905100110 = 2355913919937
BaseRepresentation
bin1001001000101110…
…11110001101001110
3110122211210220101110
410210113132031032
540021201200420
62130421152450
7232360443261
oct44427361516
913584726343
104905100110
11209788a349
12b4a85b726
136022b2601
1434763acd8
151da95cee0
hex1245de34e

4905100110 has 64 divisors (see below), whose sum is σ = 12058502400. Its totient is φ = 1276541952.

The previous prime is 4905100103. The next prime is 4905100121. The reversal of 4905100110 is 110015094.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 236062 + ... + 255998.

It is an arithmetic number, because the mean of its divisors is an integer number (188414100).

Almost surely, 24905100110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4905100110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6029251200).

4905100110 is an abundant number, since it is smaller than the sum of its proper divisors (7153402290).

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

4905100110 is a wasteful number, since it uses less digits than its factorization.

4905100110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20145.

The product of its (nonzero) digits is 180, while the sum is 21.

The square root of 4905100110 is about 70036.4198828010. The cubic root of 4905100110 is about 1699.0883358693.

The spelling of 4905100110 in words is "four billion, nine hundred five million, one hundred thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 59 118 139 177 278 295 354 417 590 695 834 885 1390 1770 2085 4170 8201 16402 19937 24603 39874 41005 49206 59811 82010 99685 119622 123015 199370 246030 299055 598110 1176283 2352566 2771243 3528849 5542486 5881415 7057698 8313729 11762830 13856215 16627458 17644245 27712430 35288490 41568645 83137290 163503337 327006674 490510011 817516685 981020022 1635033370 2452550055 4905100110