Search a number
-
+
447853064550 = 235231193149877
BaseRepresentation
bin1101000010001100001…
…11110111000101100110
31120210222122112220211220
412201012013313011212
524314200341031200
6541424005241210
744233134144513
oct6410607670546
91523878486756
10447853064550
11162a2a41a031
1272969103206
1333303668958
141796770a30a
15b9b2a544a0
hex68461f7166

447853064550 has 96 divisors (see below), whose sum is σ = 1147120579584. Its totient is φ = 115512816000.

The previous prime is 447853064539. The next prime is 447853064569. The reversal of 447853064550 is 55460358744.

It is a junction number, because it is equal to n+sod(n) for n = 447853064493 and 447853064502.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 8954212 + ... + 9004088.

It is an arithmetic number, because the mean of its divisors is an integer number (11949172704).

Almost surely, 2447853064550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 447853064550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573560289792).

447853064550 is an abundant number, since it is smaller than the sum of its proper divisors (699267515034).

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

447853064550 is a wasteful number, since it uses less digits than its factorization.

447853064550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51854 (or 51849 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 51.

The spelling of 447853064550 in words is "four hundred forty-seven billion, eight hundred fifty-three million, sixty-four thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 31 50 62 75 93 150 155 186 310 465 775 930 1550 1931 2325 3862 4650 5793 9655 11586 19310 28965 48275 49877 57930 59861 96550 99754 119722 144825 149631 179583 249385 289650 299262 299305 359166 498770 598610 748155 897915 1246925 1496310 1496525 1546187 1795830 2493850 2993050 3092374 3740775 4489575 4638561 7481550 7730935 8979150 9277122 15461870 23192805 38654675 46385610 77309350 96312487 115964025 192624974 231928050 288937461 481562435 577874922 963124870 1444687305 2407812175 2889374610 2985687097 4815624350 5971374194 7223436525 8957061291 14446873050 14928435485 17914122582 29856870970 44785306455 74642177425 89570612910 149284354850 223926532275 447853064550