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67343364036 = 223413211092
BaseRepresentation
bin111110101101111110…
…100010111111000100
320102211021102100110000
4332231332202333010
52100404400122121
650534230001300
74602555102204
oct765576427704
9212737370400
1067343364036
1126618634163
12110751a6230
136472c34a00
14338bc70404
151b42294526
hexfadfa2fc4

67343364036 has 135 divisors (see below), whose sum is σ = 190804835991. Its totient is φ = 20702350656.

The previous prime is 67343364019. The next prime is 67343364071. The reversal of 67343364036 is 63046334376.

The square root of 67343364036 is 259506.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 50584508100 + 16758855936 = 224910^2 + 129456^2 .

It is a junction number, because it is equal to n+sod(n) for n = 67343363982 and 67343364000.

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 60723850 + ... + 60724958.

Almost surely, 267343364036 is an apocalyptic number.

67343364036 is the 259506-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67343364036

67343364036 is an abundant number, since it is smaller than the sum of its proper divisors (123461471955).

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

67343364036 is a wasteful number, since it uses less digits than its factorization.

67343364036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2260 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 45.

The spelling of 67343364036 in words is "sixty-seven billion, three hundred forty-three million, three hundred sixty-four thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 169 234 324 338 351 468 507 676 702 1014 1053 1109 1404 1521 2028 2106 2218 3042 3327 4212 4436 4563 6084 6654 9126 9981 13308 13689 14417 18252 19962 27378 28834 29943 39924 43251 54756 57668 59886 86502 89829 119772 129753 173004 179658 187421 259506 359316 374842 389259 519012 562263 749684 778518 1124526 1167777 1229881 1557036 1686789 2249052 2335554 2459762 3373578 3689643 4671108 4919524 5060367 6747156 7379286 10120734 11068929 14758572 15181101 15988453 20241468 22137858 30362202 31976906 33206787 44275716 47965359 60724404 63953812 66413574 95930718 99620361 132827148 143896077 191861436 199240722 207849889 287792154 398481444 415699778 431688231 575584308 623549667 831399556 863376462 1247099334 1295064693 1726752924 1870649001 2494198668 2590129386 3741298002 5180258772 5611947003 7482596004 11223894006 16835841009 22447788012 33671682018 67343364036