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8934055424 = 29717331443
BaseRepresentation
bin10000101001000001…
…01101111000000000
3212001122000001001122
420110200231320000
5121244104233144
64034303451412
7434252134550
oct102440557000
925048001048
108934055424
113875050088
121893bb6b68
13ac4c01638
1460a76b160
153745027ee
hex21482de00

8934055424 has 160 divisors (see below), whose sum is σ = 21714967296. Its totient is φ = 3584655360.

The previous prime is 8934055397. The next prime is 8934055453. The reversal of 8934055424 is 4245504398.

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, 20166947 + ... + 20167389.

Almost surely, 28934055424 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 8934055424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10857483648).

8934055424 is an abundant number, since it is smaller than the sum of its proper divisors (12780911872).

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

8934055424 is a wasteful number, since it uses less digits than its factorization.

8934055424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 44.

The square root of 8934055424 is about 94520.1323740080. The cubic root of 8934055424 is about 2074.9909845449.

The spelling of 8934055424 in words is "eight billion, nine hundred thirty-four million, fifty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 256 272 331 443 448 476 512 544 662 886 896 952 1088 1324 1772 1792 1904 2176 2317 2648 3101 3544 3584 3808 4352 4634 5296 5627 6202 7088 7531 7616 8704 9268 10592 11254 12404 14176 15062 15232 18536 21184 22508 24808 28352 30124 30464 37072 39389 42368 45016 49616 52717 56704 60248 60928 74144 78778 84736 90032 99232 105434 113408 120496 146633 148288 157556 169472 180064 198464 210868 226816 240992 293266 296576 315112 360128 396928 421736 481984 586532 593152 630224 720256 793856 843472 963968 1026431 1173064 1186304 1260448 1440512 1587712 1686944 1927936 2052862 2346128 2492761 2520896 2881024 3373888 3855872 4105724 4692256 4985522 5041792 6747776 8211448 9384512 9971044 10083584 13495552 16422896 17449327 18769024 19942088 20167168 26991104 32845792 34898654 37538048 39884176 65691584 69797308 75076096 79768352 131383168 139594616 159536704 262766336 279189232 319073408 525532672 558378464 638146816 1116756928 1276293632 2233513856 4467027712 8934055424