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2129443328 = 295397809
BaseRepresentation
bin111111011101100…
…1011101000000000
312111101220221002102
41332323023220000
513330114141303
6551145205532
7103524653405
oct17673135000
95441827072
102129443328
119a3019321
124b51908a8
1327c22964c
14162b522ac
15c6e31288
hex7eecba00

2129443328 has 80 divisors (see below), whose sum is σ = 4385109960. Its totient is φ = 1032585216.

The previous prime is 2129443243. The next prime is 2129443331. The reversal of 2129443328 is 8233449212.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2113057024 + 16386304 = 45968^2 + 4048^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2129443291 and 2129443300.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2631788 + ... + 2632596.

Almost surely, 22129443328 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 2129443328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2192554980).

2129443328 is an abundant number, since it is smaller than the sum of its proper divisors (2255666632).

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

2129443328 is an frugal number, since it uses more digits than its factorization.

2129443328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 961 counting only the distinct ones).

The product of its digits is 82944, while the sum is 38.

The square root of 2129443328 is about 46145.8917781421. The cubic root of 2129443328 is about 1286.5362536469.

The spelling of 2129443328 in words is "two billion, one hundred twenty-nine million, four hundred forty-three thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 32 53 64 97 106 128 194 212 256 388 424 512 776 809 848 1552 1618 1696 3104 3236 3392 5141 6208 6472 6784 10282 12416 12944 13568 20564 24832 25888 27136 41128 42877 49664 51776 78473 82256 85754 103552 156946 164512 171508 207104 313892 329024 343016 414208 627784 658048 686032 1255568 1316096 1372064 2511136 2632192 2744128 4159069 5022272 5488256 8318138 10044544 10976512 16636276 20089088 21953024 33272552 40178176 66545104 133090208 266180416 532360832 1064721664 2129443328