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41929056820225 = 52292446572
BaseRepresentation
bin10011000100010010111101…
…00010011001110000000001
312111110101020001122220222201
421202021132202121300001
520443431202021221400
6225101535350433201
711555163054342631
oct1142113642316001
9174411201586881
1041929056820225
11123a6016539973
124852170362801
131a51b7c17cb43
14a4d53cd966c1
154caa0e8cd06a
hex26225e899c01

41929056820225 has 27 divisors (see below), whose sum is σ = 53847886581307. Its totient is φ = 32385856590080.

The previous prime is 41929056820187. The next prime is 41929056820247. The reversal of 41929056820225 is 52202865092914.

The square root of 41929056820225 is 6475265.

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

It can be written as a sum of positive squares in 13 ways, for example, as 25063710538689 + 16865346281536 = 5006367^2 + 4106744^2 .

It is not a de Polignac number, because 41929056820225 - 211 = 41929056818177 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 938891097 + ... + 938935753.

Almost surely, 241929056820225 is an apocalyptic number.

41929056820225 is the 6475265-th square number.

41929056820225 is the 3237633-rd centered octagonal number.

It is an amenable number.

41929056820225 is a deficient number, since it is larger than the sum of its proper divisors (11918829761082).

41929056820225 is an frugal number, since it uses more digits than its factorization.

41929056820225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89382 (or 44691 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 55.

The spelling of 41929056820225 in words is "forty-one trillion, nine hundred twenty-nine billion, fifty-six million, eight hundred twenty thousand, two hundred twenty-five".

Divisors: 1 5 25 29 145 725 841 4205 21025 44657 223285 1116425 1295053 6475265 32376325 37556537 187782685 938913425 1994247649 9971238245 49856191225 57833181821 289165909105 1445829545525 1677162272809 8385811364045 41929056820225