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2128464620 = 225235039199
BaseRepresentation
bin111111011011101…
…1100101011101100
312111100002012112222
41332313130223230
513324341331440
6551112214512
7103513436132
oct17667345354
95440065488
102128464620
119a250aa77
124b499a438
1327bc76029
14162979752
15c6cdb2b5
hex7eddcaec

2128464620 has 48 divisors (see below), whose sum is σ = 4673894400. Its totient is φ = 812661696.

The previous prime is 2128464593. The next prime is 2128464629. The reversal of 2128464620 is 264648212.

It is not an unprimeable number, because it can be changed into a prime (2128464629) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226781 + ... + 235979.

It is an arithmetic number, because the mean of its divisors is an integer number (97372800).

Almost surely, 22128464620 is an apocalyptic number.

2128464620 is a gapful number since it is divisible by the number (20) 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 2128464620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2336947200).

2128464620 is an abundant number, since it is smaller than the sum of its proper divisors (2545429780).

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

2128464620 is a wasteful number, since it uses less digits than its factorization.

2128464620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9734 (or 9732 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The square root of 2128464620 is about 46135.2860617554. The cubic root of 2128464620 is about 1286.3391228975.

The spelling of 2128464620 in words is "two billion, one hundred twenty-eight million, four hundred sixty-four thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 503 1006 2012 2515 5030 9199 10060 11569 18398 23138 36796 45995 46276 57845 91990 115690 183980 211577 231380 423154 846308 1057885 2115770 4231540 4627097 9254194 18508388 23135485 46270970 92541940 106423231 212846462 425692924 532116155 1064232310 2128464620