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204245514336 = 25314918178889
BaseRepresentation
bin1011111000110111111…
…0110011100001100000
3201112012012222011022010
42332031332303201200
511321243322424321
6233455030112520
720520252140553
oct2761576634140
9645165864263
10204245514336
11796902a4a36
12337014ab740
131634ca72636
149c57ca469a
1554a6044676
hex2f8dfb3860

204245514336 has 96 divisors (see below), whose sum is σ = 542731644000. Its totient is φ = 67250442240.

The previous prime is 204245514331. The next prime is 204245514337. The reversal of 204245514336 is 633415542402.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 204245514294 and 204245514303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204245514331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2549580 + ... + 2628468.

It is an arithmetic number, because the mean of its divisors is an integer number (5653454625).

Almost surely, 2204245514336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204245514336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271365822000).

204245514336 is an abundant number, since it is smaller than the sum of its proper divisors (338486129664).

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

204245514336 is a wasteful number, since it uses less digits than its factorization.

204245514336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79232 (or 79224 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 39.

The spelling of 204245514336 in words is "two hundred four billion, two hundred forty-five million, five hundred fourteen thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 149 181 298 362 447 543 596 724 894 1086 1192 1448 1788 2172 2384 2896 3576 4344 4768 5792 7152 8688 14304 17376 26969 53938 78889 80907 107876 157778 161814 215752 236667 315556 323628 431504 473334 631112 647256 863008 946668 1262224 1294512 1893336 2524448 2589024 3786672 7573344 11754461 14278909 23508922 28557818 35263383 42836727 47017844 57115636 70526766 85673454 94035688 114231272 141053532 171346908 188071376 228462544 282107064 342693816 376142752 456925088 564214128 685387632 1128428256 1370775264 2127557441 4255114882 6382672323 8510229764 12765344646 17020459528 25530689292 34040919056 51061378584 68081838112 102122757168 204245514336