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5305211455400 = 235231227602557
BaseRepresentation
bin100110100110011011100…
…1111101000011110101000
3200210011200022022111222222
41031030313033220132220
51143410033113033100
615141102553133212
71055201041220153
oct115146717503650
920704608274888
105305211455400
111765a2261839a
127182286ba208
132c63827b9b9c
14144ab8ab0c9a
15930026a5485
hex4d3373e87a8

5305211455400 has 72 divisors (see below), whose sum is σ = 12745343143710. Its totient is φ = 2053630166400.

The previous prime is 5305211455361. The next prime is 5305211455403. The reversal of 5305211455400 is 45541125035.

It can be written as a sum of positive squares in 3 ways, for example, as 4555979256676 + 749232198724 = 2134474^2 + 865582^2 .

It is not an unprimeable number, because it can be changed into a prime (5305211455403) 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 17 ways as a sum of consecutive naturals, for example, 13609079 + ... + 13993478.

Almost surely, 25305211455400 is an apocalyptic number.

5305211455400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5305211455400 is an abundant number, since it is smaller than the sum of its proper divisors (7440131688310).

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

5305211455400 is a wasteful number, since it uses less digits than its factorization.

5305211455400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27602635 (or 27602595 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 35.

The spelling of 5305211455400 in words is "five trillion, three hundred five billion, two hundred eleven million, four hundred fifty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 155 200 248 310 620 775 961 1240 1550 1922 3100 3844 4805 6200 7688 9610 19220 24025 38440 48050 96100 192200 27602557 55205114 110410228 138012785 220820456 276025570 552051140 690063925 855679267 1104102280 1380127850 1711358534 2760255700 3422717068 4278396335 5520511400 6845434136 8556792670 17113585340 21391981675 26526057277 34227170680 42783963350 53052114554 85567926700 106104229108 132630286385 171135853400 212208458216 265260572770 530521145540 663151431925 1061042291080 1326302863850 2652605727700 5305211455400