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208613254564 = 2211213215972
BaseRepresentation
bin1100001001001001010…
…0011010010110100100
3201221110121122100111201
43002102110122112210
511404214443121224
6235500254012244
721033426256231
oct3022224322644
9657417570451
10208613254564
118052181a900
12345201a7084
131689791bc00
14a14ddc2788
15565e709a44
hex309251a5a4

208613254564 has 81 divisors (see below), whose sum is σ = 434793088611. Its totient is φ = 87475227840.

The previous prime is 208613254561. The next prime is 208613254609. The reversal of 208613254564 is 465452316802.

It is a happy number.

The square root of 208613254564 is 456742.

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

It can be written as a sum of positive squares in 4 ways, for example, as 89007948964 + 119605305600 = 298342^2 + 345840^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (208613254561) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 130627414 + ... + 130629010.

Almost surely, 2208613254564 is an apocalyptic number.

208613254564 is the 456742-nd square number.

It is an amenable number.

208613254564 is an abundant number, since it is smaller than the sum of its proper divisors (226179834047).

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

208613254564 is a wasteful number, since it uses less digits than its factorization.

208613254564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3246 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 46.

The spelling of 208613254564 in words is "two hundred eight billion, six hundred thirteen million, two hundred fifty-four thousand, five hundred sixty-four".

Divisors: 1 2 4 11 13 22 26 44 52 121 143 169 242 286 338 484 572 676 1573 1597 1859 3146 3194 3718 6292 6388 7436 17567 20449 20761 35134 40898 41522 70268 81796 83044 193237 228371 269893 386474 456742 539786 772948 913484 1079572 2512081 2550409 2968823 5024162 5100818 5937646 10048324 10201636 11875292 28054499 32657053 33155317 56108998 65314106 66310634 112217996 130628212 132621268 308599489 364708487 431019121 617198978 729416974 862038242 1234397956 1458833948 1724076484 4011793357 4741210331 8023586714 9482420662 16047173428 18964841324 52153313641 104306627282 208613254564