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71706122064 = 2432497959181
BaseRepresentation
bin100001011001000000…
…1001001011101010000
320212002022201102100200
41002302001021131100
52133323231401224
652535155015200
75115641660313
oct1026201113520
9225068642320
1071706122064
1128457266905
1211a9229a500
1369b9a58635
14368345297a
151cea2c35c9
hex10b2049750

71706122064 has 30 divisors (see below), whose sum is σ = 200677550346. Its totient is φ = 23902040640.

The previous prime is 71706122057. The next prime is 71706122141. The reversal of 71706122064 is 46022160717.

71706122064 is a `hidden beast` number, since 7 + 17 + 0 + 612 + 20 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 38217122064 + 33489000000 = 195492^2 + 183000^2 .

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 (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 248979447 + ... + 248979734.

Almost surely, 271706122064 is an apocalyptic number.

It is an amenable number.

71706122064 is an abundant number, since it is smaller than the sum of its proper divisors (128971428282).

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

71706122064 is a wasteful number, since it uses less digits than its factorization.

71706122064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497959195 (or 497959186 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

It can be divided in two parts, 717061220 and 64, that added together give a square (717061284 = 267782).

The spelling of 71706122064 in words is "seventy-one billion, seven hundred six million, one hundred twenty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 497959181 995918362 1493877543 1991836724 2987755086 3983673448 4481632629 5975510172 7967346896 8963265258 11951020344 17926530516 23902040688 35853061032 71706122064