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68728981500 = 22325364123827
BaseRepresentation
bin100000000000010010…
…0010000011111111100
320120101211201000021100
41000000210100133330
52111224104402000
651323524333100
74652111463234
oct1000044203774
9216354630240
1068728981500
112716979a063
12113a1244190
136634018bba
14347dcbacc4
151bc3c47a00
hex10009107fc

68728981500 has 144 divisors (see below), whose sum is σ = 217164388896. Its totient is φ = 18298368000.

The previous prime is 68728981493. The next prime is 68728981511. The reversal of 68728981500 is 518982786.

68728981500 is a `hidden beast` number, since 68 + 72 + 8 + 9 + 8 + 1 + 500 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2872587 + ... + 2896413.

It is an arithmetic number, because the mean of its divisors is an integer number (1508086034).

Almost surely, 268728981500 is an apocalyptic number.

68728981500 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68728981500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108582194448).

68728981500 is an abundant number, since it is smaller than the sum of its proper divisors (148435407396).

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

68728981500 is a wasteful number, since it uses less digits than its factorization.

68728981500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24493 (or 24478 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 68728981500 in words is "sixty-eight billion, seven hundred twenty-eight million, nine hundred eighty-one thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 125 150 180 225 250 300 375 450 500 641 750 900 1125 1282 1500 1923 2250 2564 3205 3846 4500 5769 6410 7692 9615 11538 12820 16025 19230 23076 23827 28845 32050 38460 47654 48075 57690 64100 71481 80125 95308 96150 115380 119135 142962 144225 160250 192300 214443 238270 240375 285924 288450 320500 357405 428886 476540 480750 576900 595675 714810 721125 857772 961500 1072215 1191350 1429620 1442250 1787025 2144430 2382700 2884500 2978375 3574050 4288860 5361075 5956750 7148100 8935125 10722150 11913500 15273107 17870250 21444300 26805375 30546214 35740500 45819321 53610750 61092428 76365535 91638642 107221500 137457963 152731070 183277284 229096605 274915926 305462140 381827675 458193210 549831852 687289815 763655350 916386420 1145483025 1374579630 1527310700 1909138375 2290966050 2749159260 3436449075 3818276750 4581932100 5727415125 6872898150 7636553500 11454830250 13745796300 17182245375 22909660500 34364490750 68728981500