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75454396164 = 223272172283523
BaseRepresentation
bin100011001000101101…
…1101011011100000100
321012202112202110210100
41012101123223130010
52214012311134124
654355133324100
75310554533200
oct1062133533404
9235675673710
1075454396164
112a0000486a4
1212759636630
137166481bc4
14391b19bb00
151e693c31c9
hex11916eb704

75454396164 has 324 divisors, whose sum is σ = 236975937744. Its totient is φ = 20179901952.

The previous prime is 75454396153. The next prime is 75454396219. The reversal of 75454396164 is 46169345457.

It is a happy number.

75454396164 is a `hidden beast` number, since 7 + 5 + 4 + 543 + 96 + 1 + 6 + 4 = 666.

Its product of digits (10886400) is a multiple of the sum of its prime factors (864).

It is a self number, because there is not a number n which added to its sum of digits gives 75454396164.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 144272007 + ... + 144272529.

Almost surely, 275454396164 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 75454396164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118487968872).

75454396164 is an abundant number, since it is smaller than the sum of its proper divisors (161521541580).

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

75454396164 is a wasteful number, since it uses less digits than its factorization.

75454396164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 835 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 54.

The spelling of 75454396164 in words is "seventy-five billion, four hundred fifty-four million, three hundred ninety-six thousand, one hundred sixty-four".