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67340010336 = 2534318190127
BaseRepresentation
bin111110101101110001…
…110000001101100000
320102211001002222000220
4332231301300031200
52100403020312321
650534030043040
74602514433514
oct765561601540
9212731088026
1067340010336
1126616753505
1211074049480
13647232c381
14338b63a144
151b41d309c6
hexfadc70360

67340010336 has 96 divisors (see below), whose sum is σ = 181879746048. Its totient is φ = 21803281920.

The previous prime is 67340010329. The next prime is 67340010347. The reversal of 67340010336 is 63301004376.

67340010336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 67340010297 and 67340010306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 702105 + ... + 792231.

It is an arithmetic number, because the mean of its divisors is an integer number (1894580688).

Almost surely, 267340010336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67340010336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90939873024).

67340010336 is an abundant number, since it is smaller than the sum of its proper divisors (114539735712).

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

67340010336 is a wasteful number, since it uses less digits than its factorization.

67340010336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90364 (or 90356 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 33.

The spelling of 67340010336 in words is "sixty-seven billion, three hundred forty million, ten thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 181 258 344 362 516 543 688 724 1032 1086 1376 1448 2064 2172 2896 4128 4344 5792 7783 8688 15566 17376 23349 31132 46698 62264 90127 93396 124528 180254 186792 249056 270381 360508 373584 540762 721016 747168 1081524 1442032 2163048 2884064 3875461 4326096 7750922 8652192 11626383 15501844 16312987 23252766 31003688 32625974 46505532 48938961 62007376 65251948 93011064 97877922 124014752 130503896 186022128 195755844 261007792 372044256 391511688 522015584 701458441 783023376 1402916882 1566046752 2104375323 2805833764 4208750646 5611667528 8417501292 11223335056 16835002584 22446670112 33670005168 67340010336