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6104389200 = 2435271355901
BaseRepresentation
bin1011010111101100…
…11001011001010000
3120202102111002201220
411223312121121100
5100000210423300
62445422125040
7304162311030
oct55366313120
916672432656
106104389200
11265284aa58
121224420780
137638b8320
1441ca238c0
1525ada7da0
hex16bd99650

6104389200 has 240 divisors, whose sum is σ = 24067376256. Its totient is φ = 1287936000.

The previous prime is 6104389169. The next prime is 6104389219. The reversal of 6104389200 is 29834016.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 81250 + ... + 137150.

Almost surely, 26104389200 is an apocalyptic number.

6104389200 is a gapful number since it is divisible by the number (60) 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 6104389200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12033688128).

6104389200 is an abundant number, since it is smaller than the sum of its proper divisors (17962987056).

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

6104389200 is a wasteful number, since it uses less digits than its factorization.

6104389200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55942 (or 55931 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 6104389200 is about 78130.5906799635. The cubic root of 6104389200 is about 1827.5982706626.

The spelling of 6104389200 in words is "six billion, one hundred four million, three hundred eighty-nine thousand, two hundred".