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68258314300 = 225211247911777
BaseRepresentation
bin111111100100100000…
…110011100000111100
320112012001001122020211
4333210200303200330
52104243112024200
651205112322204
74634335045531
oct774440634074
9215161048224
1068258314300
1126a48047900
121128b6a3364
13658a6641b7
14343759cd88
151b97775aba
hexfe483383c

68258314300 has 108 divisors (see below), whose sum is σ = 163163931840. Its totient is φ = 24767283200.

The previous prime is 68258314261. The next prime is 68258314301. The reversal of 68258314300 is 341385286.

68258314300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68258314301) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5790012 + ... + 5801788.

Almost surely, 268258314300 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 68258314300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81581965920).

68258314300 is an abundant number, since it is smaller than the sum of its proper divisors (94905617540).

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

68258314300 is a wasteful number, since it uses less digits than its factorization.

68258314300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12292 (or 12274 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

Adding to 68258314300 its reverse (341385286), we get a palindrome (68599699586).

The spelling of 68258314300 in words is "sixty-eight billion, two hundred fifty-eight million, three hundred fourteen thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 479 484 550 605 958 1100 1210 1916 2395 2420 3025 4790 5269 6050 9580 10538 11777 11975 12100 21076 23554 23950 26345 47108 47900 52690 57959 58885 105380 115918 117770 129547 131725 231836 235540 259094 263450 289795 294425 518188 526900 579590 588850 647735 1159180 1177700 1295470 1425017 1448975 2590940 2850034 2897950 3238675 5641183 5700068 5795900 6477350 7125085 11282366 12954700 14250170 22564732 28205915 28500340 35625425 56411830 62053013 71250850 112823660 124106026 141029575 142501700 248212052 282059150 310265065 564118300 620530130 682583143 1241060260 1365166286 1551325325 2730332572 3102650650 3412915715 6205301300 6825831430 13651662860 17064578575 34129157150 68258314300