Search a number
-
+
4391581272100 = 2252112190512
BaseRepresentation
bin111111111001111110101…
…001000100100000100100
3120112211102211221101022221
4333321332221010200210
51033422424301201400
613201244203402124
7632165322621661
oct77717651044044
916484384841287
104391581272100
11144350615a100
125ab14b823344
1325b180225c79
141127a739aa68
157937d745c1a
hex3fe7ea44824

4391581272100 has 81 divisors (see below), whose sum is σ = 10475378545233. Its totient is φ = 1596854820000.

The previous prime is 4391581272083. The next prime is 4391581272167. The reversal of 4391581272100 is 12721851934.

The square root of 4391581272100 is 2095610.

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., 1580969257956 + 2810612014144 = 1257366^2 + 1676488^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 230507575 + ... + 230526625.

Almost surely, 24391581272100 is an apocalyptic number.

4391581272100 is the 2095610-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4391581272100

4391581272100 is an abundant number, since it is smaller than the sum of its proper divisors (6083797273133).

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

4391581272100 is an equidigital number, since it uses as much as digits as its factorization.

4391581272100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38138 (or 19069 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 43.

The spelling of 4391581272100 in words is "four trillion, three hundred ninety-one billion, five hundred eighty-one million, two hundred seventy-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 2420 3025 6050 12100 19051 38102 76204 95255 190510 209561 381020 419122 476275 838244 952550 1047805 1905100 2095610 2305171 4191220 4610342 5239025 9220684 10478050 11525855 20956100 23051710 46103420 57629275 115258550 230517100 362940601 725881202 1451762404 1814703005 3629406010 3992346611 7258812020 7984693222 9073515025 15969386444 18147030050 19961733055 36294060100 39923466110 43915812721 79846932220 87831625442 99808665275 175663250884 199617330550 219579063605 399234661100 439158127210 878316254420 1097895318025 2195790636050 4391581272100