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255523484977460 = 22572735236829363
BaseRepresentation
bin111010000110010110110010…
…100011011100100100110100
31020111201210210000020121221222
4322012112302203130210310
5231442444044123234320
62303241511331125512
7104551651106505500
oct7206266243344464
91214653700217858
10255523484977460
11744659a0871577
12247aa1b6143898
13ac769b85a843b
14471558cc8b300
151e81b43c10825
hexe865b28dc934

255523484977460 has 144 divisors (see below), whose sum is σ = 633968111802816. Its totient is φ = 86242713113088.

The previous prime is 255523484977433. The next prime is 255523484977471. The reversal of 255523484977460 is 64779484325552.

It is a hoax number, since the sum of its digits (71) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34000739 + ... + 40830101.

It is an arithmetic number, because the mean of its divisors is an integer number (4402556331964).

Almost surely, 2255523484977460 is an apocalyptic number.

255523484977460 is a gapful number since it is divisible by the number (20) 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 255523484977460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316984055901408).

255523484977460 is an abundant number, since it is smaller than the sum of its proper divisors (378444626825356).

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

255523484977460 is a wasteful number, since it uses less digits than its factorization.

255523484977460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6829982 (or 6829973 counting only the distinct ones).

The product of its (nonzero) digits is 2032128000, while the sum is 71.

The spelling of 255523484977460 in words is "two hundred fifty-five trillion, five hundred twenty-three billion, four hundred eighty-four million, nine hundred seventy-seven thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 73 98 140 146 196 245 292 365 490 511 523 730 980 1022 1046 1460 2044 2092 2555 2615 3577 3661 5110 5230 7154 7322 10220 10460 14308 14644 17885 18305 25627 35770 36610 38179 51254 71540 73220 76358 102508 128135 152716 190895 256270 267253 381790 512540 534506 763580 1069012 1336265 1870771 2672530 3741542 5345060 6829363 7483084 9353855 13658726 18707710 27317452 34146815 37415420 47805541 68293630 95611082 136587260 191222164 239027705 334638787 478055410 498543499 669277574 956110820 997086998 1338555148 1673193935 1994173996 2492717495 3346387870 3489804493 3571756849 4985434990 6692775740 6979608986 7143513698 9970869980 13959217972 14287027396 17449022465 17858784245 24428631451 25002297943 34898044930 35717568490 48857262902 50004595886 69796089860 71435136980 97714525804 100009191772 122143157255 125011489715 175016085601 244286314510 250022979430 260738249977 350032171202 488572629020 500045958860 521476499954 700064342404 875080428005 1042952999908 1303691249885 1750160856010 1825167749839 2607382499770 3500321712020 3650335499678 5214764999540 7300670999356 9125838749195 12776174248873 18251677498390 25552348497746 36503354996780 51104696995492 63880871244365 127761742488730 255523484977460