Search a number
-
+
4109788215 = 32513291571543
BaseRepresentation
bin1111010011110110…
…0110010000110111
3101121102021212120100
43310331212100313
531404101210330
61515451005143
7203562423561
oct36475462067
911542255510
104109788215
111819960795
129684397b3
135065b1560
142adb72331
15190c10060
hexf4f66437

4109788215 has 96 divisors (see below), whose sum is σ = 7991867520. Its totient is φ = 1939811328.

The previous prime is 4109788181. The next prime is 4109788219. The reversal of 4109788215 is 5128879014.

It is not a de Polignac number, because 4109788215 - 216 = 4109722679 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4109788219) 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 95 ways as a sum of consecutive naturals, for example, 2662734 + ... + 2664276.

It is an arithmetic number, because the mean of its divisors is an integer number (83248620).

Almost surely, 24109788215 is an apocalyptic number.

4109788215 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4109788215 is a deficient number, since it is larger than the sum of its proper divisors (3882079305).

4109788215 is a wasteful number, since it uses less digits than its factorization.

4109788215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1753 (or 1750 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The square root of 4109788215 is about 64107.6299281139. The cubic root of 4109788215 is about 1601.7933297241.

The spelling of 4109788215 in words is "four billion, one hundred nine million, seven hundred eighty-eight thousand, two hundred fifteen".

Divisors: 1 3 5 9 13 15 29 39 45 65 87 117 145 157 195 261 377 435 471 585 785 1131 1305 1413 1543 1885 2041 2355 3393 4553 4629 5655 6123 7065 7715 10205 13659 13887 16965 18369 20059 22765 23145 30615 40977 44747 59189 60177 68295 69435 91845 100295 134241 177567 180531 204885 223735 242251 295945 300885 402723 532701 581711 671205 726753 887835 902655 1211255 1745133 2013615 2180259 2663505 2908555 3149263 3633765 5235399 7025279 8725665 9447789 10901295 15746315 21075837 26176995 28343367 35126395 47238945 63227511 91328627 105379185 141716835 273985881 316137555 456643135 821957643 1369929405 4109788215