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68141027760 = 243513193113161
BaseRepresentation
bin111111011101100001…
…011001000110110000
320111212212100212100220
4333131201121012300
52104023100342020
651145322413040
74631412115341
oct773541310660
9214785325326
1068141027760
1126997919783
1211258361180
13656c27a390
143425b8c0c8
151b8c309240
hexfdd8591b0

68141027760 has 160 divisors (see below), whose sum is σ = 228666906048. Its totient is φ = 16686120960.

The previous prime is 68141027749. The next prime is 68141027771. The reversal of 68141027760 is 6772014186.

It is an interprime number because it is at equal distance from previous prime (68141027749) and next prime (68141027771).

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 31 ways as a sum of consecutive naturals, for example, 545580 + ... + 658740.

Almost surely, 268141027760 is an apocalyptic number.

68141027760 is a gapful number since it is divisible by the number (60) 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 68141027760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114333453024).

68141027760 is an abundant number, since it is smaller than the sum of its proper divisors (160525878288).

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

68141027760 is a wasteful number, since it uses less digits than its factorization.

68141027760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113383 (or 113377 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The spelling of 68141027760 in words is "sixty-eight billion, one hundred forty-one million, twenty-seven thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 193 195 208 240 260 312 386 390 520 579 624 772 780 965 1040 1158 1544 1560 1930 2316 2509 2895 3088 3120 3860 4632 5018 5790 7527 7720 9264 10036 11580 12545 15054 15440 20072 23160 25090 30108 37635 40144 46320 50180 60216 75270 100360 113161 120432 150540 200720 226322 301080 339483 452644 565805 602160 678966 905288 1131610 1357932 1471093 1697415 1810576 2263220 2715864 2942186 3394830 4413279 4526440 5431728 5884372 6789660 7355465 8826558 9052880 11768744 13579320 14710930 17653116 21840073 22066395 23537488 27158640 29421860 35306232 43680146 44132790 58843720 65520219 70612464 87360292 88265580 109200365 117687440 131040438 174720584 176531160 218400730 262080876 283920949 327601095 349441168 353062320 436801460 524161752 567841898 655202190 851762847 873602920 1048323504 1135683796 1310404380 1419604745 1703525694 1747205840 2271367592 2620808760 2839209490 3407051388 4258814235 4542735184 5241617520 5678418980 6814102776 8517628470 11356837960 13628205552 17035256940 22713675920 34070513880 68141027760