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204108258200 = 2352711294171157
BaseRepresentation
bin1011111000010111001…
…1001101101110011000
3201111211122200211021112
42332011303031232120
511321003203230300
6233433244155452
720513664366110
oct2760563155630
9644748624245
10204108258200
117961a877410
1233683538b88
131632a4b61a2
149c43976040
155498e80e35
hex2f85ccdb98

204108258200 has 768 divisors, whose sum is σ = 639859046400. Its totient is φ = 58705920000.

The previous prime is 204108258199. The next prime is 204108258209. The reversal of 204108258200 is 2852801402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204108258209) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1300052522 + ... + 1300052678.

It is an arithmetic number, because the mean of its divisors is an integer number (833149800).

Almost surely, 2204108258200 is an apocalyptic number.

204108258200 is a gapful number since it is divisible by the number (20) 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 204108258200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319929523200).

204108258200 is an abundant number, since it is smaller than the sum of its proper divisors (435750788200).

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

204108258200 is a wasteful number, since it uses less digits than its factorization.

204108258200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 32.

The spelling of 204108258200 in words is "two hundred four billion, one hundred eight million, two hundred fifty-eight thousand, two hundred".