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71666452032 = 26371937101751
BaseRepresentation
bin100001010111110100…
…1110100011001000000
320211222120001222022020
41002233221310121000
52133233102431112
652531220441440
75114650535250
oct1025751643100
9224876058266
1071666452032
112843693115a
1211a80b49280
1369b1779046
14367c087960
151ce6a8948c
hex10afa74640

71666452032 has 448 divisors, whose sum is σ = 236911042560. Its totient is φ = 18662400000.

The previous prime is 71666452021. The next prime is 71666452057. The reversal of 71666452032 is 23025466617.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 95427657 + ... + 95428407.

Almost surely, 271666452032 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 71666452032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118455521280).

71666452032 is an abundant number, since it is smaller than the sum of its proper divisors (165244590528).

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

71666452032 is a wasteful number, since it uses less digits than its factorization.

71666452032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 71666452032 in words is "seventy-one billion, six hundred sixty-six million, four hundred fifty-two thousand, thirty-two".