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208001050520692 = 221121322542924477
BaseRepresentation
bin101111010010110100000100…
…101110101010110001110100
31000021110201001211202102220111
4233102310010232222301310
5204230342122413130232
62014214210301512404
761545402635521432
oct5722640456526164
91007421054672814
10208001050520692
1160303828496300
121b3b3bb6b72704
138c0a5516cb600
143951439a01d52
15190a8b8365047
hexbd2d04baac74

208001050520692 has 54 divisors (see below), whose sum is σ = 433245672090294. Its totient is φ = 87273168016320.

The previous prime is 208001050520671. The next prime is 208001050520717. The reversal of 208001050520692 is 296025050100802.

208001050520692 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 11020779899536 + 196980270621156 = 3319756^2 + 14034966^2 .

It is a super-2 number, since 2×2080010505206922 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1271380443 + ... + 1271544034.

Almost surely, 2208001050520692 is an apocalyptic number.

208001050520692 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

208001050520692 is an abundant number, since it is smaller than the sum of its proper divisors (225244621569602).

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

208001050520692 is a wasteful number, since it uses less digits than its factorization.

208001050520692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2542924529 (or 2542924503 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 40.

The spelling of 208001050520692 in words is "two hundred eight trillion, one billion, fifty million, five hundred twenty thousand, six hundred ninety-two".

Divisors: 1 2 4 11 13 22 26 44 52 121 143 169 242 286 338 484 572 676 1573 1859 3146 3718 6292 7436 20449 40898 81796 2542924477 5085848954 10171697908 27972169247 33058018201 55944338494 66116036402 111888676988 132232072804 307693861717 363638200211 429754236613 615387723434 727276400422 859508473226 1230775446868 1454552800844 1719016946452 4000020202321 4727296602743 8000040404642 9454593205486 16000080809284 18909186410972 52000262630173 104000525260346 208001050520692