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68020731187200 = 21232521121753677
BaseRepresentation
bin11110111011101010011111…
…00001010001000000000000
322220211201101201011100100200
433131311033201101000000
532403422424140442300
6400400143103445200
720220223062224661
oct1735651741210000
9286751351140320
1068020731187200
111a745480505100
127766a592b6800
132bc5434488b0c
1412b2314433368
157ce596a67200
hex3ddd4f851000

68020731187200 has 2808 divisors, whose sum is σ = 289327405001544. Its totient is φ = 15204561715200.

The previous prime is 68020731187177. The next prime is 68020731187207. The reversal of 68020731187200 is 278113702086.

68020731187200 is a `hidden beast` number, since 68 + 0 + 207 + 3 + 1 + 187 + 200 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 453909417984 + 67566821769216 = 673728^2 + 8219904^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (68020731187207) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 100473753262 + ... + 100473753938.

It is an arithmetic number, because the mean of its divisors is an integer number (103036825143).

Almost surely, 268020731187200 is an apocalyptic number.

68020731187200 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 68020731187200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144663702500772).

68020731187200 is an abundant number, since it is smaller than the sum of its proper divisors (221306673814344).

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

68020731187200 is a wasteful number, since it uses less digits than its factorization.

68020731187200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

Adding to 68020731187200 its reverse (278113702086), we get a palindrome (68298844889286).

The spelling of 68020731187200 in words is "sixty-eight trillion, twenty billion, seven hundred thirty-one million, one hundred eighty-seven thousand, two hundred".