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525045255040100 = 225225128174441771
BaseRepresentation
bin111011101100001101001111…
…1111010101110110001100100
32112212000211120120111111210202
41313120122133322232301210
51022304320140242240400
65100402243233010032
7215410160610313244
oct16730323772566144
92485024516444722
10525045255040100
11142328495628853
124aa793556b3918
13196c772a738602
14939247c51bb24
1540a7972ec14d5
hex1dd869feaec64

525045255040100 has 72 divisors (see below), whose sum is σ = 1147958228533536. Its totient is φ = 208436956000000.

The previous prime is 525045255040091. The next prime is 525045255040121. The reversal of 525045255040100 is 1040552540525.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30167786 + ... + 44273985.

It is an arithmetic number, because the mean of its divisors is an integer number (15943864285188).

Almost surely, 2525045255040100 is an apocalyptic number.

525045255040100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

525045255040100 is an abundant number, since it is smaller than the sum of its proper divisors (622912973493436).

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

525045255040100 is a wasteful number, since it uses less digits than its factorization.

525045255040100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74442317 (or 74442310 counting only the distinct ones).

The product of its (nonzero) digits is 200000, while the sum is 38.

The spelling of 525045255040100 in words is "five hundred twenty-five trillion, forty-five billion, two hundred fifty-five million, forty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 251 281 502 562 1004 1124 1255 1405 2510 2810 5020 5620 6275 7025 12550 14050 25100 28100 70531 141062 282124 352655 705310 1410620 1763275 3526550 7053100 74441771 148883542 297767084 372208855 744417710 1488835420 1861044275 3722088550 7444177100 18684884521 20918137651 37369769042 41836275302 74739538084 83672550604 93424422605 104590688255 186848845210 209181376510 373697690420 418362753020 467122113025 522953441275 934244226050 1045906882550 1868488452100 2091813765100 5250452550401 10500905100802 21001810201604 26252262752005 52504525504010 105009051008020 131261313760025 262522627520050 525045255040100