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208998208896 = 2731753604069
BaseRepresentation
bin1100001010100101000…
…0111001010110000000
3201222110110000001120120
43002221100321112000
511411012020141041
6240002404540240
721046112315121
oct3025120712600
9658413001516
10208998208896
11806aa049784
12346090b1680
13169295c3139
14a18918c048
1556833ea366
hex30a9439580

208998208896 has 128 divisors (see below), whose sum is σ = 598899160800. Its totient is φ = 64330825728.

The previous prime is 208998208883. The next prime is 208998209023. The reversal of 208998208896 is 698802899802.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 208998208896.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43950 + ... + 648018.

Almost surely, 2208998208896 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 208998208896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299449580400).

208998208896 is an abundant number, since it is smaller than the sum of its proper divisors (389900951904).

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

208998208896 is a wasteful number, since it uses less digits than its factorization.

208998208896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604156 (or 604144 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 69.

The spelling of 208998208896 in words is "two hundred eight billion, nine hundred ninety-eight million, two hundred eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 53 64 68 96 102 106 128 136 159 192 204 212 272 318 384 408 424 544 636 816 848 901 1088 1272 1632 1696 1802 2176 2544 2703 3264 3392 3604 5088 5406 6528 6784 7208 10176 10812 14416 20352 21624 28832 43248 57664 86496 115328 172992 345984 604069 1208138 1812207 2416276 3624414 4832552 7248828 9665104 10269173 14497656 19330208 20538346 28995312 30807519 32015657 38660416 41076692 57990624 61615038 64031314 77320832 82153384 96046971 115981248 123230076 128062628 164306768 192093942 231962496 246460152 256125256 328613536 384187884 492920304 512250512 544266169 657227072 768375768 985840608 1024501024 1088532338 1314454144 1536751536 1632798507 1971681216 2049002048 2177064676 3073503072 3265597014 3943362432 4098004096 4354129352 6147006144 6531194028 8708258704 12294012288 13062388056 17416517408 26124776112 34833034816 52249552224 69666069632 104499104448 208998208896