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67913503445424 = 243713122271271609
BaseRepresentation
bin11110111000100010110000…
…01111111001000110110000
322220110110121211020200100010
433130101120033321012300
532400143323340223144
6400235011025054520
720206405632401010
oct1734213017710660
9286413554220303
1067913503445424
111a703a5621469a
12774a112a87440
132bb82a6424cc0
1412ab0614d1c40
157cb8bd0295b9
hex3dc4583f91b0

67913503445424 has 160 divisors (see below), whose sum is σ = 215947943447040. Its totient is φ = 17909774678016.

The previous prime is 67913503445393. The next prime is 67913503445467. The reversal of 67913503445424 is 42454430531976.

67913503445424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×679135034454244 (a number of 56 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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 31 ways as a sum of consecutive naturals, for example, 52771732 + ... + 54043340.

It is an arithmetic number, because the mean of its divisors is an integer number (1349674646544).

Almost surely, 267913503445424 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 67913503445424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107973971723520).

67913503445424 is an abundant number, since it is smaller than the sum of its proper divisors (148034440001616).

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

67913503445424 is a wasteful number, since it uses less digits than its factorization.

67913503445424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1283867 (or 1283861 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 57.

The spelling of 67913503445424 in words is "sixty-seven trillion, nine hundred thirteen billion, five hundred three million, four hundred forty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 1092 1456 2184 4368 12227 24454 36681 48908 73362 85589 97816 146724 158951 171178 195632 256767 293448 317902 342356 476853 513534 586896 635804 684712 953706 1027068 1112657 1271608 1271609 1369424 1907412 2054136 2225314 2543216 2543218 3337971 3814824 3814827 4108272 4450628 5086436 6675942 7629648 7629654 8901256 8901263 10172872 13351884 15259308 16530917 17802512 17802526 20345744 26703768 26703789 30518616 33061834 35605052 49592751 53407536 53407578 61037232 66123668 71210104 99185502 106815156 115716419 132247336 142420208 198371004 213630312 231432838 264494672 347149257 396742008 427260624 462865676 694298514 793484016 925731352 1388597028 1851462704 2777194056 5554388112 15547963243 31095926486 46643889729 62191852972 93287779458 108835742701 124383705944 186575558916 202123522159 217671485402 248767411888 326507228103 373151117832 404247044318 435342970804 606370566477 653014456206 746302235664 808494088636 870685941608 1212741132954 1306028912412 1414864655113 1616988177272 1741371883216 2425482265908 2612057824824 2829729310226 3233976354544 4244593965339 4850964531816 5224115649648 5659458620452 8489187930678 9701929063632 11318917240904 16978375861356 22637834481808 33956751722712 67913503445424