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530252445864960 = 2103657213832687
BaseRepresentation
bin111100010010000110000010…
…0101011010101010000000000
32120112110122020122201002000000
41320210030010223111100000
51024000124002120134320
65115430335532000000
7216455321631113400
oct17044140453252000
92515418218632000
10530252445864960
11143a55888046675
124b57a587300000
13199b478b8189a0
1494d24d8db6800
15414813a0c6c90
hex1e24304ad5400

530252445864960 has 3696 divisors, whose sum is σ = 2418804103919616. Its totient is φ = 110488383258624.

The previous prime is 530252445864913. The next prime is 530252445864991. The reversal of 530252445864960 is 69468544252035.

530252445864960 is a `hidden beast` number, since 5 + 3 + 0 + 2 + 5 + 2 + 4 + 4 + 586 + 49 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent 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 335 ways as a sum of consecutive naturals, for example, 197339948737 + ... + 197339951423.

Almost surely, 2530252445864960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 530252445864960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1209402051959808).

530252445864960 is an abundant number, since it is smaller than the sum of its proper divisors (1888551658054656).

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

530252445864960 is a wasteful number, since it uses less digits than its factorization.

530252445864960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2840 (or 2800 counting only the distinct ones).

The product of its (nonzero) digits is 248832000, while the sum is 63.

The spelling of 530252445864960 in words is "five hundred thirty trillion, two hundred fifty-two billion, four hundred forty-five million, eight hundred sixty-four thousand, nine hundred sixty".