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682789252840 = 23561714878093
BaseRepresentation
bin10011110111110010110…
…10010010111011101000
32102021101202102212001221
421323321122102323220
542141323022042330
61241400303151424
7100221103614052
oct11737132227350
92367352385057
10682789252840
11243629807612
12b03b48a5574
134c5048c8896
14250936468d2
1512b63151b7a
hex9ef9692ee8

682789252840 has 128 divisors (see below), whose sum is σ = 1586900574720. Its totient is φ = 264278246400.

The previous prime is 682789252813. The next prime is 682789252841. The reversal of 682789252840 is 48252987286.

It is a hoax number, since the sum of its digits (61) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (61).

It is not an unprimeable number, because it can be changed into a prime (682789252841) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 84363834 + ... + 84371926.

It is an arithmetic number, because the mean of its divisors is an integer number (12397660740).

Almost surely, 2682789252840 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 682789252840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793450287360).

682789252840 is an abundant number, since it is smaller than the sum of its proper divisors (904111321880).

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

682789252840 is a wasteful number, since it uses less digits than its factorization.

682789252840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8723 (or 8719 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 61.

The spelling of 682789252840 in words is "six hundred eighty-two billion, seven hundred eighty-nine million, two hundred fifty-two thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 40 61 71 122 142 244 284 305 355 487 488 568 610 710 974 1220 1420 1948 2435 2440 2840 3896 4331 4870 8093 8662 9740 16186 17324 19480 21655 29707 32372 34577 34648 40465 43310 59414 64744 69154 80930 86620 118828 138308 148535 161860 172885 173240 237656 276616 297070 323720 345770 493673 574603 594140 691540 987346 1149206 1188280 1383080 1974692 2109197 2298412 2468365 2873015 3941291 3949384 4218394 4596824 4936730 5746030 7882582 8436788 9873460 10545985 11492060 15765164 16873576 19706455 19746920 21091970 22984120 31530328 35050783 39412910 42183940 70101566 78825820 84367880 140203132 157651640 175253915 240418751 279831661 280406264 350507830 480837502 559663322 701015660 961675004 1119326644 1202093755 1399158305 1402031320 1923350008 2238653288 2404187510 2798316610 4808375020 5596633220 9616750040 11193266440 17069731321 34139462642 68278925284 85348656605 136557850568 170697313210 341394626420 682789252840