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255441400542016 = 2613596451806657
BaseRepresentation
bin111010000101001010010101…
…111100001011001101000000
31020111102221220101220021002021
4322011022111330023031000
5231440122442014321031
62303140054232531224
7104543014014353563
oct7205122574131500
91214387811807067
10255441400542016
11744340a9298277
1224796308250b14
13ac6c036675090
1447116033584da
151e7e93c751511
hexe85295f0b340

255441400542016 has 112 divisors (see below), whose sum is σ = 555222185138880. Its totient is φ = 115879683686400.

The previous prime is 255441400541981. The next prime is 255441400542047. The reversal of 255441400542016 is 610245004144552.

It is a super-2 number, since 2×2554414005420162 (a number of 30 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 15 ways as a sum of consecutive naturals, for example, 316263360 + ... + 317070016.

It is an arithmetic number, because the mean of its divisors is an integer number (4957340938740).

Almost surely, 2255441400542016 is an apocalyptic number.

255441400542016 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255441400542016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277611092569440).

255441400542016 is an abundant number, since it is smaller than the sum of its proper divisors (299780784596864).

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

255441400542016 is a wasteful number, since it uses less digits than its factorization.

255441400542016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813192 (or 813182 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 43.

Adding to 255441400542016 its reverse (610245004144552), we get a palindrome (865686404686568).

The spelling of 255441400542016 in words is "two hundred fifty-five trillion, four hundred forty-one billion, four hundred million, five hundred forty-two thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 59 64 104 118 208 236 416 472 767 832 944 1534 1888 3068 3776 6136 6451 12272 12902 24544 25804 49088 51608 83863 103216 167726 206432 335452 380609 412864 670904 761218 806657 1341808 1522436 1613314 2683616 3044872 3226628 4947917 5367232 6089744 6453256 9895834 10486541 12179488 12906512 19791668 20973082 24358976 25813024 39583336 41946164 47592763 51626048 79166672 83892328 95185526 158333344 167784656 190371052 316666688 335569312 380742104 618705919 671138624 761484208 1237411838 1522968416 2474823676 3045936832 4949647352 5203744307 9899294704 10407488614 19798589408 20814977228 39597178816 41629954456 67648675991 83259908912 135297351982 166519817824 270594703964 307020914113 333039635648 541189407928 614041828226 1082378815856 1228083656452 2164757631712 2456167312904 3991271883469 4329515263424 4912334625808 7982543766938 9824669251616 15965087533876 19649338503232 31930175067752 63860350135504 127720700271008 255441400542016