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325752532560 = 2432571317292459
BaseRepresentation
bin1001011110110000101…
…11010010111001010000
31011010211020212020011100
410233120113102321100
520314120122020220
6405352035144400
732351310561240
oct4573027227120
91133736766140
10325752532560
111161728a3164
1253171a45100
1324945238560
1411aa3419b20
15871847dd90
hex4bd85d2e50

325752532560 has 480 divisors, whose sum is σ = 1425651252480. Its totient is φ = 64687030272.

The previous prime is 325752532559. The next prime is 325752532597. The reversal of 325752532560 is 65235257523.

325752532560 is a `hidden beast` number, since 3 + 2 + 5 + 7 + 52 + 5 + 32 + 560 = 666.

It is a super-2 number, since 2×3257525325602 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 967611 + ... + 1260069.

It is an arithmetic number, because the mean of its divisors is an integer number (2970106776).

Almost surely, 2325752532560 is an apocalyptic number.

325752532560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 325752532560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712825626240).

325752532560 is an abundant number, since it is smaller than the sum of its proper divisors (1099898719920).

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

325752532560 is a wasteful number, since it uses less digits than its factorization.

325752532560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292515 (or 292506 counting only the distinct ones).

The product of its (nonzero) digits is 1890000, while the sum is 45.

The spelling of 325752532560 in words is "three hundred twenty-five billion, seven hundred fifty-two million, five hundred thirty-two thousand, five hundred sixty".