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208639998029376 = 26326018492
BaseRepresentation
bin101111011100000111001000…
…111101111110111001000000
31000100201210022012012221020100
4233130013020331332321000
5204321324203443420001
62015423520352242400
761642512435654444
oct5734071075767100
91010653265187210
10208639998029376
116052a7a9721601
121b4979b5240400
138c5588a352b34
143974330760824
15191c3125ba586
hexbdc1c8f7ee40

208639998029376 has 63 divisors (see below), whose sum is σ = 598029876894801. Its totient is φ = 69546550454784.

The previous prime is 208639998029371. The next prime is 208639998029377. The reversal of 208639998029376 is 673920899936802.

The square root of 208639998029376 is 14444376.

It is a perfect power (a square), and thus also a powerful number.

208639998029376 is a `hidden beast` number, since 2 + 0 + 8 + 63 + 9 + 99 + 80 + 29 + 376 = 666.

It can be written as a sum of positive squares in only one way, i.e., 200324275776 + 208439673753600 = 447576^2 + 14437440^2 .

It is a junction number, because it is equal to n+sod(n) for n = 208639998029295 and 208639998029304.

It is not an unprimeable number, because it can be changed into a prime (208639998029371) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 346364100 + ... + 346965948.

Almost surely, 2208639998029376 is an apocalyptic number.

208639998029376 is the 14444376-th square number.

It is an amenable number.

208639998029376 is an abundant number, since it is smaller than the sum of its proper divisors (389389878865425).

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

208639998029376 is an frugal number, since it uses more digits than its factorization.

208639998029376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1203716 (or 601854 counting only the distinct ones).

The product of its (nonzero) digits is 3809369088, while the sum is 81.

The spelling of 208639998029376 in words is "two hundred eight trillion, six hundred thirty-nine billion, nine hundred ninety-eight million, twenty-nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 601849 1203698 1805547 2407396 3611094 4814792 5416641 7222188 9629584 10833282 14444376 19259168 21666564 28888752 38518336 43333128 57777504 86666256 115555008 173332512 346665024 362222218801 724444437602 1086666656403 1448888875204 2173333312806 2897777750408 3259999969209 4346666625612 5795555500816 6519999938418 8693333251224 11591111001632 13039999876836 17386666502448 23182222003264 26079999753672 34773333004896 52159999507344 69546666009792 104319999014688 208639998029376