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255031331344452 = 2232131938637424537
BaseRepresentation
bin111001111111001100011011…
…111010010101000001000100
31020102222202102222100122202100
4321333030123322111001010
5231411413131311010302
62302223435354512100
7104501256064605465
oct7177143372250104
91212882388318670
10255031331344452
11742961a89887a3
122472a944a35630
13ac3c474bcc090
1446d9821b7cd6c
151e73e3bd7bd1c
hexe7f31be95044

255031331344452 has 144 divisors (see below), whose sum is σ = 730980809919360. Its totient is φ = 74321862418944.

The previous prime is 255031331344417. The next prime is 255031331344469. The reversal of 255031331344452 is 254443133130552.

255031331344452 is a `hidden beast` number, since 2 + 5 + 5 + 0 + 31 + 33 + 134 + 4 + 452 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 255031331344398 and 255031331344407.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30637528 + ... + 38062064.

It is an arithmetic number, because the mean of its divisors is an integer number (5076255624440).

Almost surely, 2255031331344452 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 255031331344452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365490404959680).

255031331344452 is an abundant number, since it is smaller than the sum of its proper divisors (475949478574908).

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

255031331344452 is a wasteful number, since it uses less digits than its factorization.

255031331344452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7428442 (or 7428437 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 45.

The spelling of 255031331344452 in words is "two hundred fifty-five trillion, thirty-one billion, three hundred thirty-one million, three hundred forty-four thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 36 38 39 52 57 76 78 114 117 156 171 228 234 247 342 468 494 684 741 988 1482 2223 2964 3863 4446 7726 8892 11589 15452 23178 34767 46356 50219 69534 73397 100438 139068 146794 150657 200876 220191 293588 301314 440382 451971 602628 660573 880764 903942 954161 1321146 1807884 1908322 2642292 2862483 3816644 5724966 7424537 8587449 11449932 14849074 17174898 22273611 29698148 34349796 44547222 66820833 89094444 96518981 133641666 141066203 193037962 267283332 282132406 289556943 386075924 423198609 564264812 579113886 846397218 868670829 1158227772 1269595827 1692794436 1737341658 1833860639 2539191654 3474683316 3667721278 5078383308 5501581917 7335442556 11003163834 16504745751 22006327668 28680986431 33009491502 57361972862 66018983004 86042959293 114723945724 172085918586 258128877879 344171837172 372852823603 516257755758 544938742189 745705647206 1032515511516 1089877484378 1118558470809 1491411294412 1634816226567 2179754968756 2237116941618 3269632453134 3355675412427 4474233883236 4904448679701 6539264906268 6711350824854 7084203648457 9808897359402 13422701649708 14168407296914 19617794718804 21252610945371 28336814593828 42505221890742 63757832836113 85010443781484 127515665672226 255031331344452