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5872609949328 = 24324110347920161
BaseRepresentation
bin101010101110101001011…
…0101000111011010010000
3202210102020021200110200100
41111131102311013122100
51232204101121334303
620253501220052400
71144165514643423
oct125352265073220
922712207613610
105872609949328
111964618243941
127aa199234100
13337a281029a5
141643431d59ba
15a2b6031c8a3
hex55752d47690

5872609949328 has 240 divisors, whose sum is σ = 17035799639040. Its totient is φ = 1887208243200.

The previous prime is 5872609949291. The next prime is 5872609949351. The reversal of 5872609949328 is 8239499062785.

5872609949328 is a `hidden beast` number, since 5 + 8 + 7 + 2 + 609 + 9 + 4 + 9 + 3 + 2 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 291275568 + ... + 291295728.

It is an arithmetic number, because the mean of its divisors is an integer number (70982498496).

Almost surely, 25872609949328 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 5872609949328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8517899819520).

5872609949328 is an abundant number, since it is smaller than the sum of its proper divisors (11163189689712).

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

5872609949328 is a wasteful number, since it uses less digits than its factorization.

5872609949328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20798 (or 20789 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 5872609949328 in words is "five trillion, eight hundred seventy-two billion, six hundred nine million, nine hundred forty-nine thousand, three hundred twenty-eight".