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530417479680 = 21233511293197
BaseRepresentation
bin1111011011111110101…
…10000111000000000000
31212201002201001210002000
413231333112013000000
532142243333322210
61043400451224000
753215145121204
oct7557726070000
91781081053060
10530417479680
11194a48926160
128696b8a8000
133b030b6466a
141b95aca2b04
15dbe6224ac0
hex7b7f587000

530417479680 has 1664 divisors, whose sum is σ = 2219354726400. Its totient is φ = 118908518400.

The previous prime is 530417479663. The next prime is 530417479699. The reversal of 530417479680 is 86974714035.

530417479680 is a `hidden beast` number, since 5 + 304 + 174 + 7 + 96 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 127 ways as a sum of consecutive naturals, for example, 5468221392 + ... + 5468221488.

Almost surely, 2530417479680 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 530417479680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1109677363200).

530417479680 is an abundant number, since it is smaller than the sum of its proper divisors (1688937246720).

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

530417479680 is a wasteful number, since it uses less digits than its factorization.

530417479680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 530417479680 in words is "five hundred thirty billion, four hundred seventeen million, four hundred seventy-nine thousand, six hundred eighty".