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5480561923600 = 24521170532
BaseRepresentation
bin100111111000000101011…
…1100100101011000010000
3201101221021210011020200011
41033300022330211120100
51204243142323023400
615353422502204304
71103646301500031
oct117601274453020
921357253136604
105480561923600
111823325367505
12746205123694
13309a79090b8a
1414d391198a88
1597866ad48ba
hex4fc0af25610

5480561923600 has 45 divisors (see below), whose sum is σ = 13167162510343. Its totient is φ = 2192206040960.

The previous prime is 5480561923597. The next prime is 5480561923601. The reversal of 5480561923600 is 63291650845.

The square root of 5480561923600 is 2341060.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 583653216784 + 4896908706816 = 763972^2 + 2212896^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5480561923601) 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 8 ways as a sum of consecutive naturals, for example, 46762674 + ... + 46879726.

Almost surely, 25480561923600 is an apocalyptic number.

5480561923600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5480561923600 is the 2341060-th square number.

It is an amenable number.

5480561923600 is an abundant number, since it is smaller than the sum of its proper divisors (7686600586743).

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

5480561923600 is an frugal number, since it uses more digits than its factorization.

5480561923600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234124 (or 117060 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 49.

Multiplying 5480561923600 by its sum of digits (49), we get a square (268547534256400 = 163874202).

The spelling of 5480561923600 in words is "five trillion, four hundred eighty billion, five hundred sixty-one million, nine hundred twenty-three thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 117053 234106 468212 585265 936424 1170530 1872848 2341060 2926325 4682120 5852650 9364240 11705300 23410600 46821200 13701404809 27402809618 54805619236 68507024045 109611238472 137014048090 219222476944 274028096180 342535120225 548056192360 685070240450 1096112384720 1370140480900 2740280961800 5480561923600