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5044510480 = 2451571932081
BaseRepresentation
bin1001011001010110…
…10001111100010000
3111000120010200110111
410230223101330100
540312343313410
62152321211104
7236002426432
oct45453217420
914016120414
105044510480
112159549429
12b89490a94
13625144459
1435bd6a652
151e7ce9b8a
hex12cad1f10

5044510480 has 80 divisors (see below), whose sum is σ = 11870048304. Its totient is φ = 1993605120.

The previous prime is 5044510447. The next prime is 5044510519. The reversal of 5044510480 is 840154405.

It can be written as a sum of positive squares in 8 ways, for example, as 673713936 + 4370796544 = 25956^2 + 66112^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2423040 + ... + 2425120.

Almost surely, 25044510480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5044510480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5935024152).

5044510480 is an abundant number, since it is smaller than the sum of its proper divisors (6825537824).

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

5044510480 is a wasteful number, since it uses less digits than its factorization.

5044510480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2444 (or 2438 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 31.

The square root of 5044510480 is about 71024.7173876813. The cubic root of 5044510480 is about 1715.0350872699.

Adding to 5044510480 its reverse (840154405), we get a palindrome (5884664885).

It can be divided in two parts, 5044 and 510480, that added together give a square (515524 = 7182).

The spelling of 5044510480 in words is "five billion, forty-four million, five hundred ten thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 157 193 314 386 628 772 785 965 1256 1544 1570 1930 2081 2512 3088 3140 3860 4162 6280 7720 8324 10405 12560 15440 16648 20810 30301 33296 41620 60602 83240 121204 151505 166480 242408 303010 326717 401633 484816 606020 653434 803266 1212040 1306868 1606532 1633585 2008165 2424080 2613736 3213064 3267170 4016330 5227472 6426128 6534340 8032660 13068680 16065320 26137360 32130640 63056381 126112762 252225524 315281905 504451048 630563810 1008902096 1261127620 2522255240 5044510480