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5405805648 = 243365319163
BaseRepresentation
bin1010000100011011…
…00000110001010000
3111221201222101021000
411002031200301100
542032341240043
62252225102000
7250650406215
oct50215406120
914851871230
105405805648
112324488881
12106a487900
13681c53889
14393d37b0c
152198b52d3
hex142360c50

5405805648 has 80 divisors (see below), whose sum is σ = 15541237440. Its totient is φ = 1799081856.

The previous prime is 5405805619. The next prime is 5405805659. The reversal of 5405805648 is 8465085045.

5405805648 is a `hidden beast` number, since 5 + 4 + 0 + 5 + 80 + 564 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 272515 + ... + 291677.

It is an arithmetic number, because the mean of its divisors is an integer number (194265468).

Almost surely, 25405805648 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 5405805648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7770618720).

5405805648 is an abundant number, since it is smaller than the sum of its proper divisors (10135431792).

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

5405805648 is a wasteful number, since it uses less digits than its factorization.

5405805648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19833 (or 19821 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The square root of 5405805648 is about 73524.1841029195. The cubic root of 5405805648 is about 1755.0391517309.

The spelling of 5405805648 in words is "five billion, four hundred five million, eight hundred five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 653 1306 1959 2612 3918 5224 5877 7836 10448 11754 15672 17631 19163 23508 31344 35262 38326 47016 57489 70524 76652 94032 114978 141048 153304 172467 229956 282096 306608 344934 459912 517401 689868 919824 1034802 1379736 2069604 2759472 4139208 8278416 12513439 25026878 37540317 50053756 75080634 100107512 112620951 150161268 200215024 225241902 300322536 337862853 450483804 600645072 675725706 900967608 1351451412 1801935216 2702902824 5405805648