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524422000224425 = 52101999012078977
BaseRepresentation
bin111011100111101011000001…
…1000010010010100010101001
32112202211020211212121102100002
41313033112003002102202221
51022214112224024140200
65055204050243152345
7215314145020635632
oct16717260302224251
92482736755542302
10524422000224425
11142108137523026
124a9985b69756b5
1319680a22cb1654
1493702359b8889
1540966467acbd5
hex1dcf5830928a9

524422000224425 has 24 divisors (see below), whose sum is σ = 656728618213272. Its totient is φ = 415379404800000.

The previous prime is 524422000224403. The next prime is 524422000224487.

524422000224425 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 12 ways, for example, as 2463458950681 + 521958541273744 = 1569541^2 + 22846412^2 .

It is not a de Polignac number, because 524422000224425 - 28 = 524422000224169 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 251210537 + ... + 253289513.

It is an arithmetic number, because the mean of its divisors is an integer number (27363692425553).

Almost surely, 2524422000224425 is an apocalyptic number.

It is an amenable number.

524422000224425 is a deficient number, since it is larger than the sum of its proper divisors (132306617988847).

524422000224425 is a wasteful number, since it uses less digits than its factorization.

524422000224425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2178989 (or 2178984 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 38.

It can be divided in two parts, 524422000 and 224425, that added together give a palindrome (524646425).

The spelling of 524422000224425 in words is "five hundred twenty-four trillion, four hundred twenty-two billion, two hundred twenty-four thousand, four hundred twenty-five".

Divisors: 1 5 25 101 505 2525 99901 499505 2078977 2497525 10090001 10394885 50450005 51974425 209976677 252250025 1049883385 5249416925 207691881277 1038459406385 5192297031925 20976880008977 104884400044885 524422000224425