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68137358181360 = 24351355051396703
BaseRepresentation
bin11110111111000011101110…
…00001111100001111110000
322221020212102122102111200220
433133201313001330033300
532412330302143300420
6400525511545013040
720231522153302056
oct1737416701741760
9287225378374626
1068137358181360
111a78a9893a0a96
127785587484180
132c0342c90c130
1412b7c197d81d6
157d2620848840
hex3df87707c3f0

68137358181360 has 160 divisors (see below), whose sum is σ = 227478655100928. Its totient is φ = 16771925836800.

The previous prime is 68137358181313. The next prime is 68137358181367. The reversal of 68137358181360 is 6318185373186.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 68137358181294 and 68137358181303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68137358181367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 171560769 + ... + 171957471.

Almost surely, 268137358181360 is an apocalyptic number.

68137358181360 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68137358181360 is an abundant number, since it is smaller than the sum of its proper divisors (159341296919568).

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

68137358181360 is a wasteful number, since it uses less digits than its factorization.

68137358181360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451783 (or 451777 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 60.

The spelling of 68137358181360 in words is "sixty-eight trillion, one hundred thirty-seven billion, three hundred fifty-eight million, one hundred eighty-one thousand, three 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 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 55051 110102 165153 220204 275255 330306 396703 440408 550510 660612 715663 793406 825765 880816 1101020 1190109 1321224 1431326 1586812 1651530 1983515 2146989 2202040 2380218 2642448 2862652 3173624 3303060 3578315 3967030 4293978 4404080 4760436 5157139 5725304 5950545 6347248 6606120 7156630 7934060 8587956 9520872 10314278 10734945 11450608 11901090 13212240 14313260 15471417 15868120 17175912 19041744 20628556 21469890 23802180 25785695 28626520 30942834 31736240 34351824 41257112 42939780 47604360 51571390 57253040 61885668 77357085 82514224 85879560 95208720 103142780 123771336 154714170 171759120 206285560 247542672 309428340 412571120 618856680 1237713360 21838896853 43677793706 65516690559 87355587412 109194484265 131033381118 174711174824 218388968530 262066762236 283905659089 327583452795 349422349648 436777937060 524133524472 567811318178 655166905590 851716977267 873555874120 1048267048944 1135622636356 1310333811180 1419528295445 1703433954534 1747111748240 2271245272712 2620667622360 2839056590890 3406867909068 4258584886335 4542490545424 5241335244720 5678113181780 6813735818136 8517169772670 11356226363560 13627471636272 17034339545340 22712452727120 34068679090680 68137358181360