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2129450256 = 243316330241
BaseRepresentation
bin111111011101100…
…1101010100010000
312111101221021121000
41332323031110100
513330114402011
6551145302000
7103525012533
oct17673152420
95441837530
102129450256
119a302354a
124b5194900
1327c22c84b
14162b54a1a
15c6e33356
hex7eecd510

2129450256 has 80 divisors (see below), whose sum is σ = 6150013120. Its totient is φ = 705438720.

The previous prime is 2129450221. The next prime is 2129450287. The reversal of 2129450256 is 6520549212.

2129450256 is a `hidden beast` number, since 2 + 12 + 94 + 502 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2129450256.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 55296 + ... + 85536.

It is an arithmetic number, because the mean of its divisors is an integer number (76875164).

Almost surely, 22129450256 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 2129450256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3075006560).

2129450256 is an abundant number, since it is smaller than the sum of its proper divisors (4020562864).

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

2129450256 is a wasteful number, since it uses less digits than its factorization.

2129450256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30421 (or 30409 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 2129450256 is about 46145.9668443516. The cubic root of 2129450256 is about 1286.5376488650.

Adding to 2129450256 its reverse (6520549212), we get a palindrome (8649999468).

The spelling of 2129450256 in words is "two billion, one hundred twenty-nine million, four hundred fifty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 163 216 326 432 489 652 978 1304 1467 1956 2608 2934 3912 4401 5868 7824 8802 11736 17604 23472 30241 35208 60482 70416 90723 120964 181446 241928 272169 362892 483856 544338 725784 816507 1088676 1451568 1633014 2177352 3266028 4354704 4929283 6532056 9858566 13064112 14787849 19717132 29575698 39434264 44363547 59151396 78868528 88727094 118302792 133090641 177454188 236605584 266181282 354908376 532362564 709816752 1064725128 2129450256