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204628068800 = 2652701182443
BaseRepresentation
bin1011111010010011001…
…0001000100111000000
3201120011212210221100222
42332210302020213000
511323034241200200
6234001013402212
720532605612651
oct2764462104700
9646155727328
10204628068800
1179867234851
12337a9639368
13163b10b641c
149c92a07528
1554c990dd85
hex2fa4c889c0

204628068800 has 84 divisors (see below), whose sum is σ = 504233983656. Its totient is φ = 81734016000.

The previous prime is 204628068769. The next prime is 204628068803. The reversal of 204628068800 is 8860826402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204628068803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1030379 + ... + 1212821.

Almost surely, 2204628068800 is an apocalyptic number.

204628068800 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 204628068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252116991828).

204628068800 is an abundant number, since it is smaller than the sum of its proper divisors (299605914856).

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

204628068800 is a wasteful number, since it uses less digits than its factorization.

204628068800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183166 (or 183151 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 44.

The spelling of 204628068800 in words is "two hundred four billion, six hundred twenty-eight million, sixty-eight thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 701 800 1402 1600 2804 3505 5608 7010 11216 14020 17525 22432 28040 35050 44864 56080 70100 112160 140200 182443 224320 280400 364886 560800 729772 912215 1121600 1459544 1824430 2919088 3648860 4561075 5838176 7297720 9122150 11676352 14595440 18244300 29190880 36488600 58381760 72977200 127892543 145954400 255785086 291908800 511570172 639462715 1023140344 1278925430 2046280688 2557850860 3197313575 4092561376 5115701720 6394627150 8185122752 10231403440 12789254300 20462806880 25578508600 40925613760 51157017200 102314034400 204628068800