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208991608336 = 24722925632
BaseRepresentation
bin1100001010100011011…
…1101101111000010000
3201222102222120201022101
43002220313231320100
511411003322431321
6240002011250144
721046002234400
oct3025067557020
9658388521271
10208991608336
11806a6350675
1234606a49954
1316928121994
14a188350800
155682a44791
hex30a8dede10

208991608336 has 135 divisors (see below), whose sum is σ = 488701386381. Its totient is φ = 86325681792.

The previous prime is 208991608321. The next prime is 208991608349. The reversal of 208991608336 is 633806199802.

The square root of 208991608336 is 457156.

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

It can be written as a sum of positive squares in only one way, i.e., 109590129936 + 99401478400 = 331044^2 + 315280^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 371210391 + ... + 371210953.

Almost surely, 2208991608336 is an apocalyptic number.

208991608336 is the 457156-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208991608336

208991608336 is an abundant number, since it is smaller than the sum of its proper divisors (279709778045).

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

208991608336 is an frugal number, since it uses more digits than its factorization.

208991608336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 55.

The spelling of 208991608336 in words is "two hundred eight billion, nine hundred ninety-one million, six hundred eight thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 29 49 56 58 98 112 116 196 203 232 392 406 464 563 784 812 841 1126 1421 1624 1682 2252 2842 3248 3364 3941 4504 5684 5887 6728 7882 9008 11368 11774 13456 15764 16327 22736 23548 27587 31528 32654 41209 47096 55174 63056 65308 82418 94192 110348 114289 130616 164836 220696 228578 261232 316969 329672 441392 457156 473483 633938 659344 800023 914312 946966 1267876 1600046 1828624 1893932 2218783 2535752 3200092 3314381 3787864 4437566 5071504 6400184 6628762 7575728 8875132 9192101 12800368 13257524 15531481 17750264 18384202 23200667 26515048 31062962 35500528 36768404 46401334 53030096 62125924 64344707 73536808 92802668 124251848 128689414 147073616 185605336 248503696 257378828 266570929 371210672 450412949 514757656 533141858 900825898 1029515312 1066283716 1801651796 1865996503 2132567432 3603303592 3731993006 4265134864 7206607184 7463986012 13061975521 14927972024 26123951042 29855944048 52247902084 104495804168 208991608336