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68362428300 = 223524152310627
BaseRepresentation
bin111111101010101101…
…111101111110001100
320112110021222011210220
4333222231331332030
52110001240201200
651223312031340
74640041024065
oct775255757614
9215407864726
1068362428300
1126aa0899231
12112ba532550
1365a60b840a
14344734156c
151ba198e4a0
hexfeab7df8c

68362428300 has 144 divisors (see below), whose sum is σ = 203026088832. Its totient is φ = 17749670400.

The previous prime is 68362428229. The next prime is 68362428301. The reversal of 68362428300 is 382426386.

It is not an unprimeable number, because it can be changed into a prime (68362428301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6427587 + ... + 6438213.

Almost surely, 268362428300 is an apocalyptic number.

68362428300 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 68362428300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101513044416).

68362428300 is an abundant number, since it is smaller than the sum of its proper divisors (134663660532).

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

68362428300 is a wasteful number, since it uses less digits than its factorization.

68362428300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11208 (or 11201 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 68362428300 in words is "sixty-eight billion, three hundred sixty-two million, four hundred twenty-eight thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 100 123 150 164 205 246 300 410 492 523 615 820 1025 1046 1230 1569 2050 2092 2460 2615 3075 3138 4100 5230 6150 6276 7845 10460 10627 12300 13075 15690 21254 21443 26150 31380 31881 39225 42508 42886 52300 53135 63762 64329 78450 85772 106270 107215 127524 128658 156900 159405 212540 214430 257316 265675 318810 321645 428860 435707 531350 536075 637620 643290 797025 871414 1062700 1072150 1286580 1307121 1594050 1608225 1742828 2144300 2178535 2614242 3188100 3216450 4357070 5228484 5557921 6432900 6535605 8714140 10892675 11115842 13071210 16673763 21785350 22231684 26142420 27789605 32678025 33347526 43570700 55579210 65356050 66695052 83368815 111158420 130712100 138948025 166737630 227874761 277896050 333475260 416844075 455749522 555792100 683624283 833688150 911499044 1139373805 1367248566 1667376300 2278747610 2734497132 3418121415 4557495220 5696869025 6836242830 11393738050 13672485660 17090607075 22787476100 34181214150 68362428300