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202345712660 = 225721317934277
BaseRepresentation
bin1011110001110010111…
…1101000110000010100
3201100021211011020100002
42330130233220300110
511303401000301120
6232542322510432
720422213115300
oct2743457506024
9640254136302
10202345712660
11788a5974903
1233271205418
13161092ab130
149b1784cd00
1553e4375375
hex2f1cbe8c14

202345712660 has 144 divisors (see below), whose sum is σ = 563638706064. Its totient is φ = 60272013312.

The previous prime is 202345712627. The next prime is 202345712683. The reversal of 202345712660 is 66217543202.

202345712660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 39527006596 + 162818706064 = 198814^2 + 403508^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 250559 + ... + 683718.

It is an arithmetic number, because the mean of its divisors is an integer number (3914157681).

Almost surely, 2202345712660 is an apocalyptic number.

202345712660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202345712660 is an abundant number, since it is smaller than the sum of its proper divisors (361292993404).

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

202345712660 is a wasteful number, since it uses less digits than its factorization.

202345712660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934330 (or 934321 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 38.

The spelling of 202345712660 in words is "two hundred two billion, three hundred forty-five million, seven hundred twelve thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 13 14 17 20 26 28 34 35 49 52 65 68 70 85 91 98 119 130 140 170 182 196 221 238 245 260 340 364 442 455 476 490 595 637 833 884 910 980 1105 1190 1274 1547 1666 1820 2210 2380 2548 3094 3185 3332 4165 4420 6188 6370 7735 8330 10829 12740 15470 16660 21658 30940 43316 54145 108290 216580 934277 1868554 3737108 4671385 6539939 9342770 12145601 13079878 15882709 18685540 24291202 26159756 31765418 32699695 45779573 48582404 60728005 63530836 65399390 79413545 85019207 91559146 111178963 121456010 130798780 158827090 170038414 183118292 206475217 222357926 228897865 242912020 317654180 340076828 412950434 425096035 444715852 457795730 555894815 595134449 778252741 825900868 850192070 915591460 1032376085 1111789630 1190268898 1445326519 1556505482 1700384140 2064752170 2223579260 2380537796 2890653038 2975672245 3113010964 3891263705 4129504340 5781306076 5951344490 7226632595 7782527410 10117285633 11902688980 14453265190 15565054820 20234571266 28906530380 40469142532 50586428165 101172856330 202345712660