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68293401600 = 210352889237
BaseRepresentation
bin111111100110100110…
…101001110000000000
320112021111002020222110
4333212212221300000
52104331102322400
651212404335320
74635242223054
oct774646516000
9215244066873
1068293401600
1126a65932476
121129b3a4540
1365949ca908
14343c0d3c64
151b9a8a6e50
hexfe69a9c00

68293401600 has 132 divisors (see below), whose sum is σ = 225713503064. Its totient is φ = 18211553280.

The previous prime is 68293401587. The next prime is 68293401619. The reversal of 68293401600 is 610439286.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 367819 + ... + 521418.

Almost surely, 268293401600 is an apocalyptic number.

68293401600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68293401600 is an abundant number, since it is smaller than the sum of its proper divisors (157420101464).

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

68293401600 is a wasteful number, since it uses less digits than its factorization.

68293401600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889270 (or 889247 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 68293401600 in words is "sixty-eight billion, two hundred ninety-three million, four hundred one thousand, six 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 2400 2560 3072 3200 3840 4800 5120 6400 7680 9600 12800 15360 19200 25600 38400 76800 889237 1778474 2667711 3556948 4446185 5335422 7113896 8892370 10670844 13338555 14227792 17784740 21341688 22230925 26677110 28455584 35569480 42683376 44461850 53354220 56911168 66692775 71138960 85366752 88923700 106708440 113822336 133385550 142277920 170733504 177847400 213416880 227644672 266771100 284555840 341467008 355694800 426833760 455289344 533542200 569111680 682934016 711389600 853667520 910578688 1067084400 1138223360 1365868032 1422779200 1707335040 2134168800 2276446720 2731736064 2845558400 3414670080 4268337600 4552893440 5691116800 6829340160 8536675200 11382233600 13658680320 17073350400 22764467200 34146700800 68293401600