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68307802000 = 24531712971549
BaseRepresentation
bin111111100111011101…
…100101011110010000
320112022111011212121121
4333213131211132100
52104343244131000
651214041132024
74635505510534
oct774735453620
9215274155547
1068307802000
1126a72a78729
12112a418a014
1365979a0369
14343dda1bc4
151b9bc9db1a
hexfe7765790

68307802000 has 160 divisors (see below), whose sum is σ = 175131871200. Its totient is φ = 25679462400.

The previous prime is 68307801979. The next prime is 68307802027. The reversal of 68307802000 is 20870386.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 19761611776 + 48546190224 = 140576^2 + 220332^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44097226 + ... + 44098774.

It is an arithmetic number, because the mean of its divisors is an integer number (1094574195).

Almost surely, 268307802000 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 68307802000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87565935600).

68307802000 is an abundant number, since it is smaller than the sum of its proper divisors (106824069200).

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

68307802000 is a wasteful number, since it uses less digits than its factorization.

68307802000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2886 (or 2870 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The spelling of 68307802000 in words is "sixty-eight billion, three hundred seven million, eight hundred two thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 340 400 425 500 680 850 1000 1297 1360 1549 1700 2000 2125 2594 3098 3400 4250 5188 6196 6485 6800 7745 8500 10376 12392 12970 15490 17000 20752 22049 24784 25940 26333 30980 32425 34000 38725 44098 51880 52666 61960 64850 77450 88196 103760 105332 110245 123920 129700 131665 154900 162125 176392 193625 210664 220490 259400 263330 309800 324250 352784 387250 421328 440980 518800 526660 551225 619600 648500 658325 774500 881960 1053320 1102450 1297000 1316650 1549000 1763920 2009053 2106640 2204900 2594000 2633300 2756125 3098000 3291625 4018106 4409800 5266600 5512250 6583250 8036212 8819600 10045265 10533200 11024500 13166500 16072424 20090530 22049000 26333000 32144848 34153901 40181060 44098000 50226325 52666000 68307802 80362120 100452650 136615604 160724240 170769505 200905300 251131625 273231208 341539010 401810600 502263250 546462416 683078020 803621200 853847525 1004526500 1366156040 1707695050 2009053000 2732312080 3415390100 4018106000 4269237625 6830780200 8538475250 13661560400 17076950500 34153901000 68307802000