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69085382976 = 2633531674517
BaseRepresentation
bin100000001010111001…
…1110100100101000000
320121022200100002012000
41000111303310211000
52112441324223401
651423135304000
74664000031501
oct1002563644500
9217280302160
1069085382976
1127331996835
121148067b000
13668cb03a4c
1434b5372ba8
151be5198186
hex1015cf4940

69085382976 has 224 divisors, whose sum is σ = 208215463680. Its totient is φ = 22453696512.

The previous prime is 69085382929. The next prime is 69085382983. The reversal of 69085382976 is 67928358096.

69085382976 is a `hidden beast` number, since 6 + 9 + 0 + 8 + 538 + 2 + 97 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15292270 + ... + 15296786.

It is an arithmetic number, because the mean of its divisors is an integer number (929533320).

Almost surely, 269085382976 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 69085382976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104107731840).

69085382976 is an abundant number, since it is smaller than the sum of its proper divisors (139130080704).

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

69085382976 is a wasteful number, since it uses less digits than its factorization.

69085382976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4758 (or 4742 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 69085382976 in words is "sixty-nine billion, eighty-five million, three hundred eighty-two thousand, nine hundred seventy-six".