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530285633280 = 28335131816521
BaseRepresentation
bin1111011011101110111…
…11001001111100000000
31212200202111222021211000
413231313133021330000
532142011110231110
61043335421252000
753211654340314
oct7556737117400
91780674867730
10530285633280
11194990462a97
1286933704000
133b00c750640
141b947581b44
15dbd987e1c0
hex7b777c9f00

530285633280 has 576 divisors, whose sum is σ = 2038038387840. Its totient is φ = 129790771200.

The previous prime is 530285633257. The next prime is 530285633281. The reversal of 530285633280 is 82336582035.

530285633280 is a `hidden beast` number, since 5 + 3 + 0 + 2 + 8 + 5 + 633 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (530285633281) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 81316420 + ... + 81322940.

It is an arithmetic number, because the mean of its divisors is an integer number (3538261090).

Almost surely, 2530285633280 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 530285633280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1019019193920).

530285633280 is an abundant number, since it is smaller than the sum of its proper divisors (1507752754560).

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

530285633280 is a wasteful number, since it uses less digits than its factorization.

530285633280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6745 (or 6725 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 530285633280 in words is "five hundred thirty billion, two hundred eighty-five million, six hundred thirty-three thousand, two hundred eighty".