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245322742104 = 233211834398501
BaseRepresentation
bin1110010001111001011…
…1111111100101011000
3212110012222000112111100
43210132113333211120
513004410110221404
6304411045431400
723503216621236
oct3443627774530
9773188015440
10245322742104
119504a324160
123b66610b560
131a19806167b
14bc33563956
1565ac3b4d39
hex391e5ff958

245322742104 has 192 divisors, whose sum is σ = 735307372800. Its totient is φ = 73268640000.

The previous prime is 245322742039. The next prime is 245322742121. The reversal of 245322742104 is 401247223542.

245322742104 is a `hidden beast` number, since 2 + 4 + 5 + 3 + 227 + 421 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28853854 + ... + 28862354.

It is an arithmetic number, because the mean of its divisors is an integer number (3829725900).

Almost surely, 2245322742104 is an apocalyptic number.

245322742104 is a gapful number since it is divisible by the number (24) 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 245322742104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367653686400).

245322742104 is an abundant number, since it is smaller than the sum of its proper divisors (489984630696).

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

245322742104 is a wasteful number, since it uses less digits than its factorization.

245322742104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9046 (or 9039 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

Adding to 245322742104 its reverse (401247223542), we get a palindrome (646569965646).

The spelling of 245322742104 in words is "two hundred forty-five billion, three hundred twenty-two million, seven hundred forty-two thousand, one hundred four".