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68344137476550 = 232521350812299303
BaseRepresentation
bin11111000101000100111000…
…00010010110100111000110
322221222122011110011001220100
433202202130002112213012
532424222243143222200
6401204510250544530
720252462303305065
oct1742423402264706
9287878143131810
1068344137476550
111a85a649971a91
1277b9675438146
132c19a945aaa80
1412c3c33dc41dc
157d7bc403cd00
hex3e289c0969c6

68344137476550 has 144 divisors (see below), whose sum is σ = 197781375119328. Its totient is φ = 16819853990400.

The previous prime is 68344137476519. The next prime is 68344137476551. The reversal of 68344137476550 is 5567473144386.

68344137476550 is a `hidden beast` number, since 6 + 8 + 3 + 4 + 4 + 1 + 3 + 7 + 4 + 76 + 550 = 666.

It is a super-2 number, since 2×683441374765502 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68344137476551) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28574199 + ... + 30873501.

It is an arithmetic number, because the mean of its divisors is an integer number (1373481771662).

Almost surely, 268344137476550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68344137476550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98890687559664).

68344137476550 is an abundant number, since it is smaller than the sum of its proper divisors (129437237642778).

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

68344137476550 is a wasteful number, since it uses less digits than its factorization.

68344137476550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2304415 (or 2304407 counting only the distinct ones).

The product of its (nonzero) digits is 203212800, while the sum is 63.

The spelling of 68344137476550 in words is "sixty-eight trillion, three hundred forty-four billion, one hundred thirty-seven million, four hundred seventy-six thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 75 78 90 117 130 150 195 225 234 325 390 450 585 650 975 1170 1950 2925 5081 5850 10162 15243 25405 30486 45729 50810 66053 76215 91458 127025 132106 152430 198159 228645 254050 330265 381075 396318 457290 594477 660530 762150 990795 1143225 1188954 1651325 1981590 2286450 2299303 2972385 3302650 4598606 4953975 5944770 6897909 9907950 11496515 13795818 14861925 20693727 22993030 29723850 29890939 34489545 41387454 57482575 59781878 68979090 89672817 103468635 114965150 149454695 172447725 179345634 206937270 269018451 298909390 344895450 448364085 517343175 538036902 747273475 896728170 1034686350 1345092255 1494546950 2241820425 2690184510 4483640850 6725461275 11682758543 13450922550 23365517086 35048275629 58413792715 70096551258 105144826887 116827585430 151875861059 175241378145 210289653774 292068963575 303751722118 350482756290 455627583177 525724134435 584137927150 759379305295 876206890725 911255166354 1051448268870 1366882749531 1518758610590 1752413781450 2278137915885 2628620672175 2733765499062 3796896526475 4556275831770 5257241344350 6834413747655 7593793052950 11390689579425 13668827495310 22781379158850 34172068738275 68344137476550