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199989504 = 28321113607
BaseRepresentation
bin10111110101110…
…01100100000000
3111221022112000200
423322321210000
5402144131004
631502245200
74645611531
oct1372714400
9457275020
10199989504
11a2986090
1256b86800
13325825b0
141c7bc688
1512856239
hexbeb9900

199989504 has 216 divisors, whose sum is σ = 678542592. Its totient is φ = 55848960.

The previous prime is 199989473. The next prime is 199989509. The reversal of 199989504 is 405989991.

199989504 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199989509) 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 23 ways as a sum of consecutive naturals, for example, 329169 + ... + 329775.

Almost surely, 2199989504 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 199989504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339271296).

199989504 is an abundant number, since it is smaller than the sum of its proper divisors (478553088).

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

199989504 is a wasteful number, since it uses less digits than its factorization.

199989504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 54.

The square root of 199989504 is about 14141.7645292234. The cubic root of 199989504 is about 584.7933173002.

The spelling of 199989504 in words is "one hundred ninety-nine million, nine hundred eighty-nine thousand, five hundred four".