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5729430168 = 233271117313753
BaseRepresentation
bin1010101011000000…
…00010101010011000
3112210021221012122100
411111200002222120
543213213231133
62344305323400
7261660232020
oct52540025230
915707835570
105729430168
112480128760
12113a936560
13704003787
143c4cdaa80
15237edde13
hex155802a98

5729430168 has 768 divisors, whose sum is σ = 22126141440. Its totient is φ = 1293926400.

The previous prime is 5729430127. The next prime is 5729430181. The reversal of 5729430168 is 8610349275.

5729430168 is a `hidden beast` number, since 57 + 2 + 9 + 430 + 168 = 666.

5729430168 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

5729430168 is strictly pandigital in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 108102430 + ... + 108102482.

It is an arithmetic number, because the mean of its divisors is an integer number (28810080).

It is a 1-persistent number, because it is pandigital, but 2⋅5729430168 = 11458860336 is not.

Almost surely, 25729430168 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 5729430168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11063070720).

5729430168 is an abundant number, since it is smaller than the sum of its proper divisors (16396711272).

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

5729430168 is a wasteful number, since it uses less digits than its factorization.

5729430168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 5729430168 is about 75692.9994649439. Note that the first 3 decimals coincide. The cubic root of 5729430168 is about 1789.3850730467.

The spelling of 5729430168 in words is "five billion, seven hundred twenty-nine million, four hundred thirty thousand, one hundred sixty-eight".