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68041968000 = 273531417541
BaseRepresentation
bin111111010111100111…
…100000100110000000
320111121221222002220220
4333113213200212000
52103322220434000
651131423303040
74626100120356
oct772747404600
9214557862826
1068041968000
1126946a0a706
121122b14aa80
1365548a5836
1434169637d6
151b8378d1a0
hexfd79e0980

68041968000 has 128 divisors (see below), whose sum is σ = 225559283040. Its totient is φ = 18144512000.

The previous prime is 68041967977. The next prime is 68041968023. The reversal of 68041968000 is 86914086.

68041968000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (68041967977) and next prime (68041968023).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×680419680003 (a number of 33 digits) contains 333 as substring.

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, 660771 + ... + 756770.

Almost surely, 268041968000 is an apocalyptic number.

68041968000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68041968000 is an abundant number, since it is smaller than the sum of its proper divisors (157517315040).

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

68041968000 is a wasteful number, since it uses less digits than its factorization.

68041968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1417573 (or 1417551 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 68041968000 in words is "sixty-eight billion, forty-one million, nine hundred sixty-eight thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 300 320 375 384 400 480 500 600 640 750 800 960 1000 1200 1500 1600 1920 2000 2400 3000 3200 4000 4800 6000 8000 9600 12000 16000 24000 48000 1417541 2835082 4252623 5670164 7087705 8505246 11340328 14175410 17010492 21263115 22680656 28350820 34020984 35438525 42526230 45361312 56701640 68041968 70877050 85052460 90722624 106315575 113403280 136083936 141754100 170104920 177192625 181445248 212631150 226806560 272167872 283508200 340209840 354385250 425262300 453613120 531577875 544335744 567016400 680419680 708770500 850524600 907226240 1063155750 1134032800 1360839360 1417541000 1701049200 2126311500 2268065600 2721678720 2835082000 3402098400 4252623000 4536131200 5670164000 6804196800 8505246000 11340328000 13608393600 17010492000 22680656000 34020984000 68041968000