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2002173984 = 25333317001
BaseRepresentation
bin111011101010110…
…1100000000100000
312011112102222101000
41313111230000200
513100024031414
6530401312000
7100421124636
oct16725540040
95145388330
102002173984
119381a1a48
1247a635600
1325ba58a45
1414dca3356
15bab91b09
hex7756c020

2002173984 has 96 divisors (see below), whose sum is σ = 5858153280. Its totient is φ = 665280000.

The previous prime is 2002173977. The next prime is 2002174003. The reversal of 2002173984 is 4893712002.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 282484 + ... + 289484.

It is an arithmetic number, because the mean of its divisors is an integer number (61022430).

Almost surely, 22002173984 is an apocalyptic number.

2002173984 is a gapful number since it is divisible by the number (24) 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 2002173984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2929076640).

2002173984 is an abundant number, since it is smaller than the sum of its proper divisors (3855979296).

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

2002173984 is a wasteful number, since it uses less digits than its factorization.

2002173984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7351 (or 7337 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2002173984 is about 44745.6588285389. The cubic root of 2002173984 is about 1260.3773926218.

Adding to 2002173984 its reverse (4893712002), we get a palindrome (6895885986).

The spelling of 2002173984 in words is "two billion, two million, one hundred seventy-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 331 432 662 864 993 1324 1986 2648 2979 3972 5296 5958 7001 7944 8937 10592 11916 14002 15888 17874 21003 23832 28004 31776 35748 42006 47664 56008 63009 71496 84012 95328 112016 126018 142992 168024 189027 224032 252036 285984 336048 378054 504072 672096 756108 1008144 1512216 2016288 2317331 3024432 4634662 6048864 6951993 9269324 13903986 18538648 20855979 27807972 37077296 41711958 55615944 62567937 74154592 83423916 111231888 125135874 166847832 222463776 250271748 333695664 500543496 667391328 1001086992 2002173984