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897528288130560 = 2935519214332789
BaseRepresentation
bin1100110000010011000001011…
…0110010100011011000000000
311100200212212101120220010100000
43030010300112302203120000
51420120100413230134220
612500514445313200000
7360023164450562412
oct31404602662433000
94320785346803300
10897528288130560
1123aa86678154389
12847b6bb3860000
132c6a67290506b8
1411b8c85ad449b2
156db6b855e9390
hex3304c16ca3600

897528288130560 has 1440 divisors, whose sum is σ = 3405701636457120. Its totient is φ = 226504515649536.

The previous prime is 897528288130493. The next prime is 897528288130571. The reversal of 897528288130560 is 65031882825798.

It is a happy number.

897528288130560 is a `hidden beast` number, since 8 + 9 + 7 + 5 + 2 + 8 + 28 + 8 + 1 + 30 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 321810069646 + ... + 321810072434.

It is an arithmetic number, because the mean of its divisors is an integer number (2365070580873).

Almost surely, 2897528288130560 is an apocalyptic number.

897528288130560 is a gapful number since it is divisible by the number (80) 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 897528288130560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1702850818228560).

897528288130560 is an abundant number, since it is smaller than the sum of its proper divisors (2508173348326560).

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

897528288130560 is a wasteful number, since it uses less digits than its factorization.

897528288130560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4298 (or 4251 counting only the distinct ones).

The product of its (nonzero) digits is 464486400, while the sum is 72.

The spelling of 897528288130560 in words is "eight hundred ninety-seven trillion, five hundred twenty-eight billion, two hundred eighty-eight million, one hundred thirty thousand, five hundred sixty".