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12709820340 = 22325738925931
BaseRepresentation
bin10111101011001000…
…00111011110110100
31012210202202202210200
423311210013132310
5202012203222330
65501103320500
7626650455540
oct136544073664
935722682720
1012709820340
1154323a9158
1225685b0130
131277231a69
14887dd0a20
154e5c32a60
hex2f59077b4

12709820340 has 144 divisors (see below), whose sum is σ = 44175680640. Its totient is φ = 2897521920.

The previous prime is 12709820327. The next prime is 12709820341. The reversal of 12709820340 is 4302890721.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12709820295 and 12709820304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12709820341) by changing a digit.

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, 477175 + ... + 503105.

It is an arithmetic number, because the mean of its divisors is an integer number (306775560).

Almost surely, 212709820340 is an apocalyptic number.

12709820340 is a gapful number since it is divisible by the number (10) 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 12709820340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22087840320).

12709820340 is an abundant number, since it is smaller than the sum of its proper divisors (31465860300).

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

12709820340 is a wasteful number, since it uses less digits than its factorization.

12709820340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26342 (or 26337 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 12709820340 in words is "twelve billion, seven hundred nine million, eight hundred twenty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 389 420 630 778 1167 1260 1556 1945 2334 2723 3501 3890 4668 5446 5835 7002 7780 8169 10892 11670 13615 14004 16338 17505 23340 24507 25931 27230 32676 35010 40845 49014 51862 54460 70020 77793 81690 98028 103724 122535 129655 155586 163380 181517 233379 245070 259310 311172 363034 388965 466758 490140 518620 544551 726068 777930 907585 933516 1089102 1166895 1555860 1633653 1815170 2178204 2333790 2722755 3267306 3630340 4667580 5445510 6534612 8168265 10087159 10891020 16336530 20174318 30261477 32673060 40348636 50435795 60522954 70610113 90784431 100871590 121045908 141220226 151307385 181568862 201743180 211830339 282440452 302614770 353050565 363137724 423660678 453922155 605229540 635491017 706101130 847321356 907844310 1059151695 1270982034 1412202260 1815688620 2118303390 2541964068 3177455085 4236606780 6354910170 12709820340