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69984302976 = 27327371631439
BaseRepresentation
bin100000100101101100…
…0111011011110000000
320200122022210221121100
41001023120323132000
52121311440143401
652052250254400
75025163521510
oct1011330733600
9220568727540
1069984302976
1127753350725
1211691727400
1367a410c983
14355c8cb840
151c4905eb86
hex104b63b780

69984302976 has 384 divisors, whose sum is σ = 237992601600. Its totient is φ = 19322302464.

The previous prime is 69984302953. The next prime is 69984302977. The reversal of 69984302976 is 67920348996.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69984302977) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48633265 + ... + 48634703.

It is an arithmetic number, because the mean of its divisors is an integer number (619772400).

Almost surely, 269984302976 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 69984302976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118996300800).

69984302976 is an abundant number, since it is smaller than the sum of its proper divisors (168008298624).

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

69984302976 is a wasteful number, since it uses less digits than its factorization.

69984302976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1666 (or 1651 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 69984302976 in words is "sixty-nine billion, nine hundred eighty-four million, three hundred two thousand, nine hundred seventy-six".