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5460653241 = 323894573413
BaseRepresentation
bin1010001010111101…
…01111010010111001
3112002120011221000100
411011132233102321
542140411400431
62301504430013
7252214533561
oct50536572271
915076157010
105460653241
11235243a66a
121084918309
13690418584
1439b333da1
1521e5eb4e6
hex1457af4b9

5460653241 has 24 divisors (see below), whose sum is σ = 7927512840. Its totient is φ = 3622070016.

The previous prime is 5460653213. The next prime is 5460653287. The reversal of 5460653241 is 1423560645.

5460653241 is a `hidden beast` number, since 5 + 4 + 606 + 5 + 3 + 2 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2432462400 + 3028190841 = 49320^2 + 55029^2 .

It is not a de Polignac number, because 5460653241 - 210 = 5460652217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 5460653196 and 5460653205.

It is not an unprimeable number, because it can be changed into a prime (5460653041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1598251 + ... + 1601663.

It is an arithmetic number, because the mean of its divisors is an integer number (330313035).

Almost surely, 25460653241 is an apocalyptic number.

It is an amenable number.

5460653241 is a deficient number, since it is larger than the sum of its proper divisors (2466859599).

5460653241 is a wasteful number, since it uses less digits than its factorization.

5460653241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4265 (or 4262 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 5460653241 is about 73896.2329283435. The cubic root of 5460653241 is about 1760.9547635827.

The spelling of 5460653241 in words is "five billion, four hundred sixty million, six hundred fifty-three thousand, two hundred forty-one".

Divisors: 1 3 9 389 457 1167 1371 3413 3501 4113 10239 30717 177773 533319 1327657 1559741 1599957 3982971 4679223 11948913 14037669 606739249 1820217747 5460653241