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2151828096 = 27311509429
BaseRepresentation
bin1000000001000010…
…0100101010000000
312112222001012012220
42000100210222000
513401331444341
6553305051040
7104216144205
oct20020445200
95488035186
102151828096
11a04718330
12500786a80
13283a66382
14165adbcac
15c8da3a66
hex80424a80

2151828096 has 64 divisors (see below), whose sum is σ = 6235423200. Its totient is φ = 652067840.

The previous prime is 2151828083. The next prime is 2151828103. The reversal of 2151828096 is 6908281512.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 250491 + ... + 258938.

Almost surely, 22151828096 is an apocalyptic number.

It is an amenable number.

2151828096 is an abundant number, since it is smaller than the sum of its proper divisors (4083595104).

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

2151828096 is a wasteful number, since it uses less digits than its factorization.

2151828096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509457 (or 509445 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The square root of 2151828096 is about 46387.8011550451. The cubic root of 2151828096 is about 1291.0285841213.

The spelling of 2151828096 in words is "two billion, one hundred fifty-one million, eight hundred twenty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 509429 1018858 1528287 2037716 3056574 4075432 5603719 6113148 8150864 11207438 12226296 16301728 16811157 22414876 24452592 32603456 33622314 44829752 48905184 65206912 67244628 89659504 97810368 134489256 179319008 195620736 268978512 358638016 537957024 717276032 1075914048 2151828096