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68099020800 = 211352443353
BaseRepresentation
bin111111011011000001…
…001001100000000000
320111202221022200122120
4333123001021200000
52103431322131200
651141222204240
74630362061146
oct773301114000
9214687280576
1068099020800
1126976138288
1211246283680
1365636601a5
143420375596
151b887ac9a0
hexfdb049800

68099020800 has 144 divisors (see below), whose sum is σ = 225126294120. Its totient is φ = 18159697920.

The previous prime is 68099020783. The next prime is 68099020811. The reversal of 68099020800 is 802099086.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68077 + ... + 375276.

Almost surely, 268099020800 is an apocalyptic number.

68099020800 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 68099020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112563147060).

68099020800 is an abundant number, since it is smaller than the sum of its proper divisors (157027273320).

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

68099020800 is a wasteful number, since it uses less digits than its factorization.

68099020800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443388 (or 443363 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The spelling of 68099020800 in words is "sixty-eight billion, ninety-nine million, twenty thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 256 300 320 384 400 480 512 600 640 768 800 960 1024 1200 1280 1536 1600 1920 2048 2400 2560 3072 3200 3840 4800 5120 6144 6400 7680 9600 10240 12800 15360 19200 25600 30720 38400 51200 76800 153600 443353 886706 1330059 1773412 2216765 2660118 3546824 4433530 5320236 6650295 7093648 8867060 10640472 11083825 13300590 14187296 17734120 21280944 22167650 26601180 28374592 33251475 35468240 42561888 44335300 53202360 56749184 66502950 70936480 85123776 88670600 106404720 113498368 133005900 141872960 170247552 177341200 212809440 226996736 266011800 283745920 340495104 354682400 425618880 453993472 532023600 567491840 680990208 709364800 851237760 907986944 1064047200 1134983680 1361980416 1418729600 1702475520 2128094400 2269967360 2723960832 2837459200 3404951040 4256188800 4539934720 5674918400 6809902080 8512377600 11349836800 13619804160 17024755200 22699673600 34049510400 68099020800