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67423838433216 = 2632572584952861
BaseRepresentation
bin11110101010010010101011…
…11100000110111111000000
322211201122201020010202002020
433111021111330012333000
532314133010114330331
6355222030032321440
720126132366434146
oct1725112574067700
9284648636122066
1067423838433216
111a535320072521
12768b2370a3280
132b8106b4c2825
14129148cb11596
157bdcae8c4c96
hex3d5255f06fc0

67423838433216 has 112 divisors (see below), whose sum is σ = 179096688592800. Its totient is φ = 22385873387520.

The previous prime is 67423838433209. The next prime is 67423838433241. The reversal of 67423838433216 is 61233483832476.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 67423838433216.

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, 1275466626 + ... + 1275519486.

Almost surely, 267423838433216 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 67423838433216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89548344296400).

67423838433216 is an abundant number, since it is smaller than the sum of its proper divisors (111672850159584).

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

67423838433216 is a wasteful number, since it uses less digits than its factorization.

67423838433216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78982 (or 78972 counting only the distinct ones).

The product of its digits is 83607552, while the sum is 60.

The spelling of 67423838433216 in words is "sixty-seven trillion, four hundred twenty-three billion, eight hundred thirty-eight million, four hundred thirty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 257 514 771 1028 1542 2056 3084 4112 6168 8224 12336 16448 24672 25849 49344 51698 52861 77547 103396 105722 155094 158583 206792 211444 310188 317166 413584 422888 620376 634332 827168 845776 1240752 1268664 1654336 1691552 2481504 2537328 3383104 4963008 5074656 6643193 10149312 13286386 13585277 19929579 26572772 27170554 39859158 40755831 53145544 54341108 79718316 81511662 106291088 108682216 159436632 163023324 212582176 217364432 318873264 326046648 425164352 434728864 637746528 652093296 869457728 1275493056 1304186592 1366403989 2608373184 2732807978 4099211967 5465615956 8198423934 10931231912 16396847868 21862463824 32793695736 43724927648 65587391472 87449855296 131174782944 262349565888 351165825173 702331650346 1053497475519 1404663300692 2106994951038 2809326601384 4213989902076 5618653202768 8427979804152 11237306405536 16855959608304 22474612811072 33711919216608 67423838433216