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325675662400 = 265211212972
BaseRepresentation
bin1001011110100111100…
…10000011110001000000
31011010121220012211010101
410233103302003301000
520313440432144100
6405340251412144
732346355312054
oct4572362036100
91133556184111
10325675662400
1111613346a500
1253150154054
132493233295a
1411a97129c64
15871184786a
hex4bd3c83c40

325675662400 has 189 divisors, whose sum is σ = 881519618847. Its totient is φ = 118336204800.

The previous prime is 325675662383. The next prime is 325675662451. The reversal of 325675662400 is 4266576523.

The square root of 325675662400 is 570680.

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

It can be written as a sum of positive squares in 4 ways, for example, as 100195039296 + 225480623104 = 316536^2 + 474848^2 .

It is a Duffinian number.

It is an unprimeable number.

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, 251098552 + ... + 251099848.

Almost surely, 2325675662400 is an apocalyptic number.

325675662400 is the 570680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 325675662400

325675662400 is an abundant number, since it is smaller than the sum of its proper divisors (555843956447).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

325675662400 is an equidigital number, since it uses as much as digits as its factorization.

325675662400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2638 (or 1315 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 46.

The spelling of 325675662400 in words is "three hundred twenty-five billion, six hundred seventy-five million, six hundred sixty-two thousand, four hundred".