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255343060343552 = 2843359193133461
BaseRepresentation
bin111010000011101110110000…
…011010000101101100000000
31020111002120001220110120111112
4322003232300122011230000
5231432020041421443202
62303022552121102452
7104532633033434606
oct7203566032055400
91214076056416445
10255343060343552
11743a6424869685
122477b242327a28
13ac629939a8c2c
14470a954917876
151e7c0d40c9b52
hexe83bb0685b00

255343060343552 has 144 divisors (see below), whose sum is σ = 523281154556160. Its totient is φ = 124286950502400.

The previous prime is 255343060343549. The next prime is 255343060343669.

255343060343552 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2553430603435522 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 255343060343552.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7631048102 + ... + 7631081562.

It is an arithmetic number, because the mean of its divisors is an integer number (3633896906640).

Almost surely, 2255343060343552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255343060343552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261640577278080).

255343060343552 is an abundant number, since it is smaller than the sum of its proper divisors (267938094212608).

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

255343060343552 is a wasteful number, since it uses less digits than its factorization.

255343060343552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35810 (or 35796 counting only the distinct ones).

The product of its (nonzero) digits is 19440000, while the sum is 50.

The spelling of 255343060343552 in words is "two hundred fifty-five trillion, three hundred forty-three billion, sixty million, three hundred forty-three thousand, five hundred fifty-two".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 256 344 359 688 718 1376 1436 1931 2752 2872 3862 5504 5744 7724 11008 11488 15437 15448 22976 30874 30896 33461 45952 61748 61792 66922 83033 91904 123496 123584 133844 166066 246992 247168 267688 332132 493984 494336 535376 664264 693229 987968 1070752 1328528 1386458 1438823 1975936 2141504 2657056 2772916 2877646 3951872 4283008 5314112 5545832 5755292 8566016 10628224 11091664 11510584 12012499 21256448 22183328 23021168 24024998 29808847 44366656 46042336 48049996 59617694 64613191 88733312 92084672 96099992 119235388 129226382 177466624 184169344 192199984 238470776 258452764 368338688 384399968 476941552 516537457 516905528 768799936 953883104 1033074914 1033811056 1537599872 1907766208 2066149828 2067622112 2778367213 3075199744 3815532416 4132299656 4135244224 5556734426 7631064832 8264599312 8270488448 11113468852 16529198624 16540976896 22226937704 23196135569 33058397248 44453875408 46392271138 66116794496 88907750816 92784542276 132233588992 177815501632 185569084552 355631003264 371138169104 711262006528 742276338208 997433829467 1484552676416 1994867658934 2969105352832 3989735317868 5938210705664 7979470635736 15958941271472 31917882542944 63835765085888 127671530171776 255343060343552