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54337941025 = 5223220272
BaseRepresentation
bin110010100110110010…
…110010111000100001
312012020220102102000021
4302212302302320201
51342241003103100
640543522353441
73632354610064
oct624662627041
9165226372007
1054337941025
1121054395385
12a6457bb881
13517c6b4834
1428b68d28db
151630620a1a
hexca6cb2e21

54337941025 has 27 divisors (see below), whose sum is σ = 70470707251. Its totient is φ = 41559824240.

The previous prime is 54337941019. The next prime is 54337941029. The reversal of 54337941025 is 52014973345.

The square root of 54337941025 is 233105.

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., 19561658769 + 34776282256 = 139863^2 + 186484^2 .

It is not a de Polignac number, because 54337941025 - 225 = 54304386593 is a prime.

It is a super-2 number, since 2×543379410252 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (54337941029) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 26806062 + ... + 26808088.

Almost surely, 254337941025 is an apocalyptic number.

54337941025 is the 233105-th square number.

54337941025 is the 116553-rd centered octagonal number.

It is an amenable number.

54337941025 is a deficient number, since it is larger than the sum of its proper divisors (16132766226).

54337941025 is an frugal number, since it uses more digits than its factorization.

54337941025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4110 (or 2055 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 43.

The spelling of 54337941025 in words is "fifty-four billion, three hundred thirty-seven million, nine hundred forty-one thousand, twenty-five".

Divisors: 1 5 23 25 115 529 575 2027 2645 10135 13225 46621 50675 233105 1072283 1165525 4108729 5361415 20543645 26807075 94500767 102718225 472503835 2173517641 2362519175 10867588205 54337941025