Search a number
-
+
50460644304 = 24337103162007
BaseRepresentation
bin101110111111101100…
…000101001111010000
311211020200121022211000
4232333230011033100
51311320411104204
635103054422000
73434314254030
oct567754051720
9154220538730
1050460644304
111a444799a24
129943201900
1349b2325615
14262999d8c0
1514a5037039
hexbbfb053d0

50460644304 has 160 divisors (see below), whose sum is σ = 167140413440. Its totient is φ = 14277264768.

The previous prime is 50460644279. The next prime is 50460644309. The reversal of 50460644304 is 40344606405.

50460644304 is a `hidden beast` number, since 5 + 0 + 4 + 6 + 0 + 644 + 3 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50460644309) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 230469 + ... + 392475.

It is an arithmetic number, because the mean of its divisors is an integer number (1044627584).

Almost surely, 250460644304 is an apocalyptic number.

50460644304 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50460644304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83570206720).

50460644304 is an abundant number, since it is smaller than the sum of its proper divisors (116679769136).

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

50460644304 is a wasteful number, since it uses less digits than its factorization.

50460644304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162134 (or 162122 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 50460644304 in words is "fifty billion, four hundred sixty million, six hundred forty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 103 108 112 126 144 168 189 206 216 252 309 336 378 412 432 504 618 721 756 824 927 1008 1236 1442 1512 1648 1854 2163 2472 2781 2884 3024 3708 4326 4944 5562 5768 6489 7416 8652 11124 11536 12978 14832 17304 19467 22248 25956 34608 38934 44496 51912 77868 103824 155736 162007 311472 324014 486021 648028 972042 1134049 1296056 1458063 1944084 2268098 2592112 2916126 3402147 3888168 4374189 4536196 5832252 6804294 7776336 8748378 9072392 10206441 11664504 13608588 16686721 17496756 18144784 20412882 23329008 27217176 30619323 33373442 34993512 40825764 50060163 54434352 61238646 66746884 69987024 81651528 100120326 116807047 122477292 133493768 150180489 163303056 200240652 233614094 244954584 266987536 300360978 350421141 400481304 450541467 467228188 489909168 600721956 700842282 800962608 901082934 934456376 1051263423 1201443912 1401684564 1802165868 1868912752 2102526846 2402887824 2803369128 3153790269 3604331736 4205053692 5606738256 6307580538 7208663472 8410107384 12615161076 16820214768 25230322152 50460644304