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204104948600 = 235272331732801
BaseRepresentation
bin1011111000010110011…
…0100101101101111000
3201111211102110200100202
42332011212211231320
511321001331323400
6233433045221332
720513624303120
oct2760546455570
9644742420322
10204104948600
1179618a16903
1233682401848
13163298c7947
149c43353c80
155498a2a4d5
hex2f859a5b78

204104948600 has 384 divisors, whose sum is σ = 592384942080. Its totient is φ = 63866880000.

The previous prime is 204104948587. The next prime is 204104948603. The reversal of 204104948600 is 6849401402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204104948603) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72867200 + ... + 72870000.

It is an arithmetic number, because the mean of its divisors is an integer number (1542669120).

Almost surely, 2204104948600 is an apocalyptic number.

204104948600 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 204104948600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296192471040).

204104948600 is an abundant number, since it is smaller than the sum of its proper divisors (388279993480).

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

204104948600 is a wasteful number, since it uses less digits than its factorization.

204104948600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2951 (or 2942 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The spelling of 204104948600 in words is "two hundred four billion, one hundred four million, nine hundred forty-eight thousand, six hundred".