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5820267225529 = 892271072
BaseRepresentation
bin101010010110010001011…
…1101011110000110111001
3202121102010102121121011101
41110230202331132012321
51230324401402204104
620213443245531401
71140333435065221
oct124544275360671
922542112547141
105820267225529
1119443a8129819
127a000b873b61
13332b05bac583
141619b96b5081
15a15e9e675a4
hex54b22f5e1b9

5820267225529 has 9 divisors (see below), whose sum is σ = 5886615438127. Its totient is φ = 5754658662544.

The previous prime is 5820267225527. The next prime is 5820267225581. The reversal of 5820267225529 is 9255227620285.

The square root of 5820267225529 is 2412523.

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., 1117614751929 + 4702652473600 = 1057173^2 + 2168560^2 .

It is not a de Polignac number, because 5820267225529 - 21 = 5820267225527 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 5820267225529.

It is not an unprimeable number, because it can be changed into a prime (5820267225527) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 214700994 + ... + 214728100.

Almost surely, 25820267225529 is an apocalyptic number.

5820267225529 is the 2412523-rd square number.

5820267225529 is the 1206262-nd centered octagonal number.

It is an amenable number.

5820267225529 is a deficient number, since it is larger than the sum of its proper divisors (66348212598).

5820267225529 is an frugal number, since it uses more digits than its factorization.

5820267225529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54392 (or 27196 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 55.

The spelling of 5820267225529 in words is "five trillion, eight hundred twenty billion, two hundred sixty-seven million, two hundred twenty-five thousand, five hundred twenty-nine".

Divisors: 1 89 7921 27107 2412523 214714547 734789449 65396260961 5820267225529