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43028355168 = 253319109139173
BaseRepresentation
bin101000000100101100…
…001001100001100000
311010001201102220211000
4220010230021201200
51201110224331133
631433354552000
73052165661421
oct500454114140
9133051386730
1043028355168
1117280426107
12840a138600
1340995b41b6
142122875648
1511bc7cc413
hexa04b09860

43028355168 has 384 divisors, whose sum is σ = 135051840000. Its totient is φ = 13289121792.

The previous prime is 43028355137. The next prime is 43028355191. The reversal of 43028355168 is 86155382034.

43028355168 is a `hidden beast` number, since 4 + 30 + 2 + 8 + 3 + 551 + 68 = 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 63 ways as a sum of consecutive naturals, for example, 248718730 + ... + 248718902.

It is an arithmetic number, because the mean of its divisors is an integer number (351697500).

Almost surely, 243028355168 is an apocalyptic number.

43028355168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43028355168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67525920000).

43028355168 is an abundant number, since it is smaller than the sum of its proper divisors (92023484832).

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

43028355168 is a wasteful number, since it uses less digits than its factorization.

43028355168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 43028355168 in words is "forty-three billion, twenty-eight million, three hundred fifty-five thousand, one hundred sixty-eight".