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5260463344900 = 2252211210872
BaseRepresentation
bin100110010001100110000…
…0011001000110100000100
3200121220011201211222101001
41030203030003020310010
51142141412104014100
615104342401543044
71052025120443461
oct114431403106404
920556151758331
105260463344900
111748a4a466695
1270b61a644a84
132c20a0b304aa
14142871a90668
1591c83e20d6a
hex4c8cc0c8d04

5260463344900 has 81 divisors (see below), whose sum is σ = 11480123641077. Its totient is φ = 2092286296800.

The previous prime is 5260463344897. The next prime is 5260463344901. The reversal of 5260463344900 is 94433640625.

The square root of 5260463344900 is 2293570.

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

It can be written as a sum of positive squares in only one way, i.e., 1893766804164 + 3366696540736 = 1376142^2 + 1834856^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5260463344901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4839432157 + ... + 4839433243.

Almost surely, 25260463344900 is an apocalyptic number.

5260463344900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5260463344900 is the 2293570-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5260463344900

5260463344900 is an abundant number, since it is smaller than the sum of its proper divisors (6219660296177).

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

5260463344900 is an equidigital number, since it uses as much as digits as its factorization.

5260463344900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2610 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 46.

The spelling of 5260463344900 in words is "five trillion, two hundred sixty billion, four hundred sixty-three million, three hundred forty-four thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 211 422 844 1055 1087 2110 2174 4220 4348 5275 5435 10550 10870 21100 21740 27175 44521 54350 89042 108700 178084 222605 229357 445210 458714 890420 917428 1113025 1146785 1181569 2226050 2293570 2363138 4452100 4587140 4726276 5733925 5907845 11467850 11815690 22935700 23631380 29539225 48394327 59078450 96788654 118156900 193577308 241971635 249311059 483943270 498622118 967886540 997244236 1209858175 1246555295 2419716350 2493110590 4839432700 4986221180 6232776475 12465552950 24931105900 52604633449 105209266898 210418533796 263023167245 526046334490 1052092668980 1315115836225 2630231672450 5260463344900