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75067328196 = 2232717313715277
BaseRepresentation
bin100010111101001011…
…1001000011011000100
321011202120102101100200
41011322113020123010
52212214214000241
654252505210500
75265144522150
oct1057227103304
9234676371320
1075067328196
1129921605813
121266ba90a30
13710421a8c3
1438c1a02060
151e454164b6
hex117a5c86c4

75067328196 has 288 divisors, whose sum is σ = 243446740992. Its totient is φ = 19005788160.

The previous prime is 75067328183. The next prime is 75067328197. The reversal of 75067328196 is 69182376057.

75067328196 is a `hidden beast` number, since 75 + 0 + 67 + 328 + 196 = 666.

It is a super-2 number, since 2×750673281962 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (75067328197) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 4906110 + ... + 4921386.

It is an arithmetic number, because the mean of its divisors is an integer number (845301184).

Almost surely, 275067328196 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 75067328196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121723370496).

75067328196 is an abundant number, since it is smaller than the sum of its proper divisors (168379412796).

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

75067328196 is a wasteful number, since it uses less digits than its factorization.

75067328196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15379 (or 15374 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 75067328196 in words is "seventy-five billion, sixty-seven million, three hundred twenty-eight thousand, one hundred ninety-six".