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68389401600 = 2103452134359
BaseRepresentation
bin111111101100010100…
…110111010000000000
320112112011201120020000
4333230110313100000
52110030141322400
651230114120000
74640516215332
oct775424672000
9215464646200
1068389401600
1127005041713
1211307580000
1365ab870850
14344ab63452
151ba401b600
hexfec537400

68389401600 has 1320 divisors, whose sum is σ = 283789857120. Its totient is φ = 16164126720.

The previous prime is 68389401593. The next prime is 68389401601. The reversal of 68389401600 is 610498386.

68389401600 is a `hidden beast` number, since 6 + 8 + 38 + 9 + 4 + 0 + 1 + 600 = 666.

It is a super-2 number, since 2×683894016002 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68389401601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1159142371 + ... + 1159142429.

It is an arithmetic number, because the mean of its divisors is an integer number (214992316).

Almost surely, 268389401600 is an apocalyptic number.

68389401600 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 68389401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141894928560).

68389401600 is an abundant number, since it is smaller than the sum of its proper divisors (215400455520).

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

68389401600 is a wasteful number, since it uses less digits than its factorization.

68389401600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

Adding to 68389401600 its reverse (610498386), we get a palindrome (68999899986).

The spelling of 68389401600 in words is "sixty-eight billion, three hundred eighty-nine million, four hundred one thousand, six hundred".