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71420045060 = 225721319253293
BaseRepresentation
bin100001010000011110…
…1110110011100000100
320211100101102012111002
41002200331312130010
52132232012420220
652450535232432
75105566236500
oct1024075663404
9224311365432
1071420045060
112831a831a31
1211a12518718
1369726c3bc0
143657465300
151cd0114c75
hex10a0f76704

71420045060 has 432 divisors, whose sum is σ = 202730106096. Its totient is φ = 20937885696.

The previous prime is 71420044999. The next prime is 71420045077. The reversal of 71420045060 is 6054002417.

It can be written as a sum of positive squares in 8 ways, for example, as 1087944256 + 70332100804 = 32984^2 + 265202^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 243754274 + ... + 243754566.

It is an arithmetic number, because the mean of its divisors is an integer number (469282653).

Almost surely, 271420045060 is an apocalyptic number.

71420045060 is a gapful number since it is divisible by the number (70) 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 71420045060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101365053048).

71420045060 is an abundant number, since it is smaller than the sum of its proper divisors (131310061036).

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

71420045060 is a wasteful number, since it uses less digits than its factorization.

71420045060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

Adding to 71420045060 its reverse (6054002417), we get a palindrome (77474047477).

The spelling of 71420045060 in words is "seventy-one billion, four hundred twenty million, forty-five thousand, sixty".