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75031197696 = 2113371323137
BaseRepresentation
bin100010111100000110…
…1010011100000000000
321011200001102202122000
41011320031103200000
52212130441311241
654245134544000
75264225441340
oct1057015234000
9234601382560
1075031197696
11299031783a4
121265b968000
1370c98aa400
1438bacb8d20
151e4217aeb6
hex1178353800

75031197696 has 1152 divisors, whose sum is σ = 291600691200. Its totient is φ = 18632540160.

The previous prime is 75031197679. The next prime is 75031197737. The reversal of 75031197696 is 69679113057.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 95 ways as a sum of consecutive naturals, for example, 2027870190 + ... + 2027870226.

It is an arithmetic number, because the mean of its divisors is an integer number (253125600).

Almost surely, 275031197696 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 75031197696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145800345600).

75031197696 is an abundant number, since it is smaller than the sum of its proper divisors (216569493504).

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

75031197696 is a wasteful number, since it uses less digits than its factorization.

75031197696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 2143260, while the sum is 54.

The spelling of 75031197696 in words is "seventy-five billion, thirty-one million, one hundred ninety-seven thousand, six hundred ninety-six".