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208900644192 = 2533232457057
BaseRepresentation
bin1100001010001101110…
…0101101110101100000
3201222012122102020222000
43002203130231311200
511410312031103232
6235545001444000
721043516114662
oct3024334556540
9658178366860
10208900644192
1180659a70999
12345a04a0600
1316912322c46
14a17a232532
155679a7727c
hex30a372dd60

208900644192 has 144 divisors (see below), whose sum is σ = 636937746480. Its totient is φ = 66605856768.

The previous prime is 208900644191. The next prime is 208900644263. The reversal of 208900644192 is 291446009802.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208900644191) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 228528 + ... + 685584.

It is an arithmetic number, because the mean of its divisors is an integer number (4423178795).

Almost surely, 2208900644192 is an apocalyptic number.

It is a pronic number, being equal to 457056×457057.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208900644192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318468873240).

208900644192 is an abundant number, since it is smaller than the sum of its proper divisors (428037102288).

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

208900644192 is a wasteful number, since it uses less digits than its factorization.

208900644192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457122 (or 457085 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 208900644192 in words is "two hundred eight billion, nine hundred million, six hundred forty-four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 92 96 108 138 144 184 207 216 276 288 368 414 432 529 552 621 736 828 864 1058 1104 1242 1587 1656 2116 2208 2484 3174 3312 4232 4761 4968 6348 6624 8464 9522 9936 12696 14283 16928 19044 19872 25392 28566 38088 50784 57132 76176 114264 152352 228528 457056 457057 914114 1371171 1828228 2742342 3656456 4113513 5484684 7312912 8227026 10512311 10969368 12340539 14625824 16454052 21024622 21938736 24681078 31536933 32908104 42049244 43877472 49362156 63073866 65816208 84098488 94610799 98724312 126147732 131632416 168196976 189221598 197448624 241783153 252295464 283832397 336393952 378443196 394897248 483566306 504590928 567664794 725349459 756886392 967132612 1009181856 1135329588 1450698918 1513772784 1934265224 2176048377 2270659176 2901397836 3027545568 3868530448 4352096754 4541318352 5802795672 6528145131 7737060896 8704193508 9082636704 11605591344 13056290262 17408387016 23211182688 26112580524 34816774032 52225161048 69633548064 104450322096 208900644192