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68744700338928 = 243231991732718059
BaseRepresentation
bin11111010000101110111110…
…11100011010001011110000
3100000101221002100211210220220
433220113133130122023300
533002303121241321203
6402112513535133040
720323432521411225
oct1750273734321360
9300357070753826
1068744700338928
111a9a45111971a9
127863225074180
132c4879c710c73
1412d9392c2394c
157e331a06a653
hex3e85df71a2f0

68744700338928 has 160 divisors (see below), whose sum is σ = 186264078336000. Its totient is φ = 21805990195968.

The previous prime is 68744700338921. The next prime is 68744700338969. The reversal of 68744700338928 is 82983300744786.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68744700338921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3806663563 + ... + 3806681621.

It is an arithmetic number, because the mean of its divisors is an integer number (1164150489600).

Almost surely, 268744700338928 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 68744700338928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93132039168000).

68744700338928 is an abundant number, since it is smaller than the sum of its proper divisors (117519377997072).

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

68744700338928 is a wasteful number, since it uses less digits than its factorization.

68744700338928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35619 (or 35613 counting only the distinct ones).

The product of its (nonzero) digits is 390168576, while the sum is 69.

The spelling of 68744700338928 in words is "sixty-eight trillion, seven hundred forty-four billion, seven hundred million, three hundred thirty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 199 276 368 398 552 597 796 1104 1194 1592 2388 3184 4577 4776 9154 9552 13731 17327 18059 18308 27462 34654 36118 36616 51981 54177 54924 69308 72236 73232 103962 108354 109848 138616 144472 207924 216708 219696 277232 288944 398521 415357 415848 433416 797042 830714 831696 866832 1195563 1246071 1594084 1661428 2391126 2492142 3188168 3322856 3448073 3593741 4782252 4984284 6376336 6645712 6896146 7187482 9564504 9968568 10344219 10781223 13792292 14374964 19129008 19937136 20688438 21562446 27584584 28749928 41376876 43124892 55169168 57499856 79305679 82656043 82753752 86249784 158611358 165312086 165507504 172499568 237917037 247968129 312908293 317222716 330624172 475834074 495936258 625816586 634445432 661248344 938724879 951668148 991872516 1251633172 1268890864 1322496688 1877449758 1903336296 1983745032 2503266344 3754899516 3806672592 3967490064 5006532688 7196890739 7509799032 14393781478 15019598064 21590672217 28787562956 43181344434 57575125912 62268750307 86362688868 115150251824 124537500614 172725377736 186806250921 249075001228 345450755472 373612501842 498150002456 747225003684 996300004912 1432181257061 1494450007368 2864362514122 2988900014736 4296543771183 5728725028244 8593087542366 11457450056488 17186175084732 22914900112976 34372350169464 68744700338928