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5649435028440 = 23325710941115003
BaseRepresentation
bin101001000110101110010…
…0100010110101111011000
3202000002011211200211020200
41102031130210112233120
51220030020331402230
620003151543022200
71122105160264410
oct122153444265730
922002154624220
105649435028440
111888a0387a665
12772a9443a960
1331c97c70b598
141576112d1640
159be4c535160
hex5235c916bd8

5649435028440 has 384 divisors, whose sum is σ = 21185510860800. Its totient is φ = 1278885749760.

The previous prime is 5649435028429. The next prime is 5649435028481. The reversal of 5649435028440 is 448205349465.

5649435028440 is a `hidden beast` number, since 5 + 6 + 4 + 9 + 4 + 350 + 284 + 4 + 0 = 666.

It is a super-2 number, since 2×56494350284402 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1129206979 + ... + 1129211981.

It is an arithmetic number, because the mean of its divisors is an integer number (55170601200).

Almost surely, 25649435028440 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 5649435028440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10592755430400).

5649435028440 is an abundant number, since it is smaller than the sum of its proper divisors (15536075832360).

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

5649435028440 is a wasteful number, since it uses less digits than its factorization.

5649435028440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9247 (or 9240 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 5649435028440 in words is "five trillion, six hundred forty-nine billion, four hundred thirty-five million, twenty-eight thousand, four hundred forty".