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255835290501904 = 2447214925712
BaseRepresentation
bin111010001010111001001011…
…100111001000001100010000
31020112211121121021100102202011
4322022321023213020030100
5232013101133332030104
62304041035425432304
7104613326664646561
oct7212711347101420
91215747537312664
10255835290501904
1174576156970043
122483a71519b694
13ac9a21a199c69
1447266cbc66168
151e89ce2a27904
hexe8ae4b9c8310

255835290501904 has 135 divisors (see below), whose sum is σ = 510767997213621. Its totient is φ = 124137965754240.

The previous prime is 255835290501881. The next prime is 255835290501911. The reversal of 255835290501904 is 409105092538552.

The square root of 255835290501904 is 15994852.

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., 29972865663504 + 225862424838400 = 5474748^2 + 15028720^2 .

It is a super-2 number, since 2×2558352905019042 (a number of 30 digits) contains 22 as substring.

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, 448047793939 + ... + 448047794509.

Almost surely, 2255835290501904 is an apocalyptic number.

255835290501904 is the 15994852-nd square number.

It is an amenable number.

255835290501904 is a deficient number, since it is larger than the sum of its proper divisors (254932706711717).

255835290501904 is an frugal number, since it uses more digits than its factorization.

255835290501904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1542 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 19440000, while the sum is 58.

The spelling of 255835290501904 in words is "two hundred fifty-five trillion, eight hundred thirty-five billion, two hundred ninety million, five hundred one thousand, nine hundred four".

Divisors: 1 2 4 8 16 47 94 149 188 298 376 571 596 752 1142 1192 2209 2284 2384 4418 4568 7003 8836 9136 14006 17672 22201 26837 28012 35344 44402 53674 56024 85079 88804 107348 112048 170158 177608 214696 326041 329141 340316 355216 429392 652082 658282 680632 1043447 1261339 1304164 1316564 1361264 2086894 2522678 2608328 2633128 3998713 4173788 5045356 5216656 5266256 7997426 8347576 10090712 12676771 15323927 15994852 16695152 20181424 25353542 30647854 31989704 48580109 49042009 50707084 61295708 63979408 97160218 98084018 101414168 122591416 187939511 194320436 196168036 202828336 245182832 375879022 388640872 392336072 595808237 720224569 751758044 777281744 784672144 1191616474 1440449138 1503516088 2283265123 2383232948 2880898276 3007032176 4566530246 4766465896 5761796552 7238436241 9133060492 9532931792 11523593104 14476872482 18266120984 28002987139 28953744964 36532241968 56005974278 57907489928 107313460781 112011948556 115814979856 214626921562 224023897112 340206503327 429253843124 448047794224 680413006654 858507686248 1360826013308 1717015372496 2721652026616 5443304053232 15989705656369 31979411312738 63958822625476 127917645250952 255835290501904