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71485299648 = 2632719312971
BaseRepresentation
bin100001010010011011…
…0110001101111000000
320211111221012110221200
41002210312301233000
52132400214042043
652501230021200
75110321010220
oct1024466615700
9224457173850
1071485299648
1128353651744
1211a30347800
136983090799
143661db0080
151cd5c047d3
hex10a4db1bc0

71485299648 has 504 divisors, whose sum is σ = 254966175360. Its totient is φ = 18705945600.

The previous prime is 71485299607. The next prime is 71485299671. The reversal of 71485299648 is 84699258417.

71485299648 is a `hidden beast` number, since 7 + 1 + 48 + 529 + 9 + 64 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×714852996482 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 73619803 + ... + 73620773.

Almost surely, 271485299648 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 71485299648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127483087680).

71485299648 is an abundant number, since it is smaller than the sum of its proper divisors (183480875712).

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

71485299648 is a wasteful number, since it uses less digits than its factorization.

71485299648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1033 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 63.

The spelling of 71485299648 in words is "seventy-one billion, four hundred eighty-five million, two hundred ninety-nine thousand, six hundred forty-eight".