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1999008000 = 28325311631
BaseRepresentation
bin111011100100110…
…0111000100000000
312011022111010110100
41313021213010000
513043221224000
6530205402400
7100352200443
oct16711470400
95138433410
101999008000
1193642a330
12479569400
1325b1ba992
1414d6bb65a
15ba768a00
hex77267100

1999008000 has 432 divisors, whose sum is σ = 7859359872. Its totient is φ = 483840000.

The previous prime is 1999007971. The next prime is 1999008001. The reversal of 1999008000 is 8009991.

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

It is not an unprimeable number, because it can be changed into a prime (1999008001) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3167685 + ... + 3168315.

Almost surely, 21999008000 is an apocalyptic number.

1999008000 is a gapful number since it is divisible by the number (10) 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 1999008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3929679936).

1999008000 is an abundant number, since it is smaller than the sum of its proper divisors (5860351872).

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

1999008000 is a wasteful number, since it uses less digits than its factorization.

1999008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The square root of 1999008000 is about 44710.2672772150. The cubic root of 1999008000 is about 1259.7127084984.

The spelling of 1999008000 in words is "one billion, nine hundred ninety-nine million, eight thousand".