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204985675400 = 23521193175307
BaseRepresentation
bin1011111011101000011…
…0010010111010001000
3201121002210201020101212
42332322012102322020
511324302313103100
6234100310232252
720544510330542
oct2767206227210
9647083636355
10204985675400
1179a300849a0
1233889355688
131643a20396c
149cc82d4692
1554eaeeb635
hex2fba192e88

204985675400 has 48 divisors (see below), whose sum is σ = 519918218640. Its totient is φ = 74540244800.

The previous prime is 204985675339. The next prime is 204985675471. The reversal of 204985675400 is 4576589402.

204985675400 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46585454 + ... + 46589853.

It is an arithmetic number, because the mean of its divisors is an integer number (10831629555).

Almost surely, 2204985675400 is an apocalyptic number.

204985675400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204985675400 is an abundant number, since it is smaller than the sum of its proper divisors (314932543240).

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

204985675400 is a wasteful number, since it uses less digits than its factorization.

204985675400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93175334 (or 93175325 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 50.

The spelling of 204985675400 in words is "two hundred four billion, nine hundred eighty-five million, six hundred seventy-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 93175307 186350614 372701228 465876535 745402456 931753070 1024928377 1863506140 2049856754 2329382675 3727012280 4099713508 4658765350 5124641885 8199427016 9317530700 10249283770 18635061400 20498567540 25623209425 40997135080 51246418850 102492837700 204985675400