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4560434125 = 53138093469
BaseRepresentation
bin1000011111101001…
…01011001111001101
3102202211021001112121
410033310223033031
533314432343000
62032305532541
7221004023212
oct41764531715
912684231477
104560434125
111a30278725
12a73344151
13578a76240
1431395bb09
151ba579b1a
hex10fd2b3cd

4560434125 has 32 divisors (see below), whose sum is σ = 6138568800. Its totient is φ = 3362572800.

The previous prime is 4560434119. The next prime is 4560434147. The reversal of 4560434125 is 5214340654.

It can be written as a sum of positive squares in 16 ways, for example, as 4200724969 + 359709156 = 64813^2 + 18966^2 .

It is a de Polignac number, because none of the positive numbers 2k-4560434125 is a prime.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1312891 + ... + 1316359.

It is an arithmetic number, because the mean of its divisors is an integer number (191830275).

Almost surely, 24560434125 is an apocalyptic number.

It is an amenable number.

4560434125 is a deficient number, since it is larger than the sum of its proper divisors (1578134675).

4560434125 is a wasteful number, since it uses less digits than its factorization.

4560434125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4306 (or 4296 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

The square root of 4560434125 is about 67530.9864062417. The cubic root of 4560434125 is about 1658.3214906746.

Adding to 4560434125 its reverse (5214340654), we get a palindrome (9774774779).

The spelling of 4560434125 in words is "four billion, five hundred sixty million, four hundred thirty-four thousand, one hundred twenty-five".

Divisors: 1 5 13 25 65 125 325 809 1625 3469 4045 10517 17345 20225 45097 52585 86725 101125 225485 262925 433625 1127425 1314625 2806421 5637125 14032105 36483473 70160525 182417365 350802625 912086825 4560434125