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71707062240 = 25335113148677
BaseRepresentation
bin100001011001000010…
…0101110111111100000
320212002101111012001000
41002302010232333200
52133324001442430
652535231112000
75115652654332
oct1026204567740
9225071435030
1071707062240
1128457849210
1211a92672600
1369b9cc7558
143683619452
151cea40be60
hex10b212efe0

71707062240 has 384 divisors, whose sum is σ = 282628362240. Its totient is φ = 16822425600.

The previous prime is 71707062239. The next prime is 71707062277. The reversal of 71707062240 is 4226070717.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 71707062195 and 71707062204.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1448782 + ... + 1497458.

It is an arithmetic number, because the mean of its divisors is an integer number (736011360).

Almost surely, 271707062240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71707062240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141314181120).

71707062240 is an abundant number, since it is smaller than the sum of its proper divisors (210921300000).

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

71707062240 is a wasteful number, since it uses less digits than its factorization.

71707062240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48743 (or 48729 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The spelling of 71707062240 in words is "seventy-one billion, seven hundred seven million, sixty-two thousand, two hundred forty".