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67344716440 = 23519277319897
BaseRepresentation
bin111110101110000011…
…101101001010011000
320102211100222001121001
4332232003231022120
52100410221411230
650534314554344
74602602434111
oct765603551230
9212740861531
1067344716440
1126619378251
12110757389b4
1364732b9451
14338c103208
151b424600ca
hexfae0ed298

67344716440 has 64 divisors (see below), whose sum is σ = 160076959200. Its totient is φ = 25427893248.

The previous prime is 67344716357. The next prime is 67344716449. The reversal of 67344716440 is 4461744376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67344716449) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 50572 + ... + 370468.

Almost surely, 267344716440 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 67344716440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80038479600).

67344716440 is an abundant number, since it is smaller than the sum of its proper divisors (92732242760).

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

67344716440 is a wasteful number, since it uses less digits than its factorization.

67344716440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320204 (or 320200 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 46.

The spelling of 67344716440 in words is "sixty-seven billion, three hundred forty-four million, seven hundred sixteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 277 380 554 760 1108 1385 2216 2770 5263 5540 10526 11080 21052 26315 42104 52630 105260 210520 319897 639794 1279588 1599485 2559176 3198970 6078043 6397940 12156086 12795880 24312172 30390215 48624344 60780430 88611469 121560860 177222938 243121720 354445876 443057345 708891752 886114690 1683617911 1772229380 3367235822 3544458760 6734471644 8418089555 13468943288 16836179110 33672358220 67344716440