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68436718400 = 265242772949
BaseRepresentation
bin111111101111001001…
…010111001101000000
320112122110202111200002
4333233021113031000
52110124244442100
651234524215132
74641632336231
oct775711271500
9215573674602
1068436718400
112702981a506
121131b39a4a8
1365b85c985b
14345315d088
151ba82662d5
hexfef257340

68436718400 has 42 divisors (see below), whose sum is σ = 168397104150. Its totient is φ = 27374686720.

The previous prime is 68436718397. The next prime is 68436718409. The reversal of 68436718400 is 481763486.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 561879616 + 67874838784 = 23704^2 + 260528^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68436718409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21384875 + ... + 21388074.

Almost surely, 268436718400 is an apocalyptic number.

It is an amenable number.

68436718400 is an abundant number, since it is smaller than the sum of its proper divisors (99960385750).

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

68436718400 is a wasteful number, since it uses less digits than its factorization.

68436718400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42772971 (or 42772956 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 47.

The spelling of 68436718400 in words is "sixty-eight billion, four hundred thirty-six million, seven hundred eighteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 42772949 85545898 171091796 213864745 342183592 427729490 684367184 855458980 1069323725 1368734368 1710917960 2138647450 2737468736 3421835920 4277294900 6843671840 8554589800 13687343680 17109179600 34218359200 68436718400