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503242066225 = 52375310265009
BaseRepresentation
bin1110101001010111001…
…00001000100100110001
31210002221210201202000101
413110223210020210301
531221114432104400
61023104115552401
751233543661433
oct7245344104461
91702853652011
10503242066225
11184473032878
12816468bb701
13385bca27762
141a4dda3c653
15d15559056a
hex752b908931

503242066225 has 24 divisors (see below), whose sum is σ = 652977816120. Its totient is φ = 384321899520.

The previous prime is 503242066207. The next prime is 503242066231. The reversal of 503242066225 is 522660242305.

It can be written as a sum of positive squares in 12 ways, for example, as 104890481424 + 398351584801 = 323868^2 + 631151^2 .

It is not a de Polignac number, because 503242066225 - 221 = 503239969073 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5083480 + ... + 5181529.

It is an arithmetic number, because the mean of its divisors is an integer number (27207409005).

Almost surely, 2503242066225 is an apocalyptic number.

It is an amenable number.

503242066225 is a deficient number, since it is larger than the sum of its proper divisors (149735749895).

503242066225 is a wasteful number, since it uses less digits than its factorization.

503242066225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10265109 (or 10265104 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 37.

The spelling of 503242066225 in words is "five hundred three billion, two hundred forty-two million, sixty-six thousand, two hundred twenty-five".

Divisors: 1 5 25 37 53 185 265 925 1325 1961 9805 49025 10265009 51325045 256625225 379805333 544045477 1899026665 2720227385 9495133325 13601136925 20129682649 100648413245 503242066225