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2128451744 = 25194637561
BaseRepresentation
bin111111011011101…
…1001100010100000
312111100001112220002
41332313121202200
513324340423434
6551112035132
7103513353446
oct17667314240
95440045802
102128451744
119a2501331
124b4992aa8
1327bc70203
14162974b96
15c6cd757e
hex7edd98a0

2128451744 has 48 divisors (see below), whose sum is σ = 4421047680. Its totient is φ = 1005903360.

The previous prime is 2128451707. The next prime is 2128451749. The reversal of 2128451744 is 4471548212.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 2128451698 and 2128451707.

It is not an unprimeable number, because it can be changed into a prime (2128451749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 277724 + ... + 285284.

It is an arithmetic number, because the mean of its divisors is an integer number (92105160).

Almost surely, 22128451744 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 2128451744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2210523840).

2128451744 is an abundant number, since it is smaller than the sum of its proper divisors (2292595936).

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

2128451744 is a wasteful number, since it uses less digits than its factorization.

2128451744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8053 (or 8045 counting only the distinct ones).

The product of its digits is 71680, while the sum is 38.

The square root of 2128451744 is about 46135.1465154279. The cubic root of 2128451744 is about 1286.3365290190.

Adding to 2128451744 its reverse (4471548212), we get a palindrome (6599999956).

The spelling of 2128451744 in words is "two billion, one hundred twenty-eight million, four hundred fifty-one thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 463 608 926 1852 3704 7408 7561 8797 14816 15122 17594 30244 35188 60488 70376 120976 140752 143659 241952 281504 287318 574636 1149272 2298544 3500743 4597088 7001486 14002972 28005944 56011888 66514117 112023776 133028234 266056468 532112936 1064225872 2128451744