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3288386125325 = 52729337287501
BaseRepresentation
bin101111110110100011000…
…101100011111000001101
3102122100220021122100012202
4233312203011203320031
5412334103322002300
610554355211011245
7456402162606500
oct57664305437015
912570807570182
103288386125325
111058662270044
12451389a39b25
131ab12a4bb202
14b523180d137
155a812504ad5
hex2fda3163e0d

3288386125325 has 36 divisors (see below), whose sum is σ = 4743853725492. Its totient is φ = 2254644000000.

The previous prime is 3288386125313. The next prime is 3288386125351. The reversal of 3288386125325 is 5235216838823.

It can be written as a sum of positive squares in 6 ways, for example, as 5806744804 + 3282579380521 = 76202^2 + 1811789^2 .

It is not a de Polignac number, because 3288386125325 - 224 = 3288369348109 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 (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11294075 + ... + 11581575.

It is an arithmetic number, because the mean of its divisors is an integer number (131773714597).

Almost surely, 23288386125325 is an apocalyptic number.

3288386125325 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3288386125325 is a deficient number, since it is larger than the sum of its proper divisors (1455467600167).

3288386125325 is a wasteful number, since it uses less digits than its factorization.

3288386125325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296862 (or 296850 counting only the distinct ones).

The product of its digits is 16588800, while the sum is 56.

The spelling of 3288386125325 in words is "three trillion, two hundred eighty-eight billion, three hundred eighty-six million, one hundred twenty-five thousand, three hundred twenty-five".

Divisors: 1 5 7 25 35 49 175 245 1225 9337 46685 65359 233425 287501 326795 457513 1437505 1633975 2012507 2287565 7187525 10062535 11437825 14087549 50312675 70437745 352188725 2684396837 13421984185 18790777859 67109920925 93953889295 131535445013 469769446475 657677225065 3288386125325