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204255124000 = 2553125940559
BaseRepresentation
bin1011111000111010001…
…1011101101000100000
3201112012220001101021121
42332032203131220200
511321303302432000
6233500012102024
720520426623224
oct2761643355040
9645186041247
10204255124000
1179695768904
1233704764914
1316351a58625
149c59286784
1554a6ce1b1a
hex2f8e8dda20

204255124000 has 96 divisors (see below), whose sum is σ = 502265836800. Its totient is φ = 81635142400.

The previous prime is 204255123983. The next prime is 204255124019. The reversal of 204255124000 is 421552402.

204255124000 is digitally balanced in base 2, because in such base 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 (25).

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 15 ways as a sum of consecutive naturals, for example, 5015721 + ... + 5056279.

It is an arithmetic number, because the mean of its divisors is an integer number (5231935800).

Almost surely, 2204255124000 is an apocalyptic number.

204255124000 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 204255124000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251132918400).

204255124000 is an abundant number, since it is smaller than the sum of its proper divisors (298010712800).

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

204255124000 is a wasteful number, since it uses less digits than its factorization.

204255124000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41843 (or 41825 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

Adding to 204255124000 its reverse (421552402), we get a palindrome (204676676402).

The spelling of 204255124000 in words is "two hundred four billion, two hundred fifty-five million, one hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 1259 2000 2518 4000 5036 6295 10072 12590 20144 25180 31475 40288 40559 50360 62950 81118 100720 125900 157375 162236 201440 202795 251800 314750 324472 405590 503600 629500 648944 811180 1007200 1013975 1259000 1297888 1622360 2027950 2518000 3244720 4055900 5036000 5069875 6489440 8111800 10139750 16223600 20279500 32447200 40559000 51063781 81118000 102127562 162236000 204255124 255318905 408510248 510637810 817020496 1021275620 1276594525 1634040992 2042551240 2553189050 4085102480 5106378100 6382972625 8170204960 10212756200 12765945250 20425512400 25531890500 40851024800 51063781000 102127562000 204255124000