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75282189376 = 26342972
BaseRepresentation
bin100011000011100101…
…0110000110001000000
321012022112201110111011
41012013022300301000
52213134220030001
654330102330304
75303364023452
oct1060712606100
9235275643434
1075282189376
1129a21919139
121270ba29994
1371398a92b4
1439023722d2
151e59208d51
hex11872b0c40

75282189376 has 21 divisors (see below), whose sum is σ = 149392450389. Its totient is φ = 37639997184.

The previous prime is 75282189347. The next prime is 75282189383. The reversal of 75282189376 is 67398128257.

It is a happy number.

The square root of 75282189376 is 274376.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 71459982400 + 3822206976 = 267320^2 + 61824^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 75282189376.

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 2 ways as a sum of consecutive naturals, for example, 2177860 + ... + 2212156.

It is an arithmetic number, because the mean of its divisors is an integer number (7113926209).

Almost surely, 275282189376 is an apocalyptic number.

75282189376 is the 274376-th square number.

It is an amenable number.

75282189376 is a deficient number, since it is larger than the sum of its proper divisors (74110261013).

75282189376 is an frugal number, since it uses more digits than its factorization.

75282189376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68606 (or 34299 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 58.

The spelling of 75282189376 in words is "seventy-five billion, two hundred eighty-two million, one hundred eighty-nine thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 34297 68594 137188 274376 548752 1097504 2195008 1176284209 2352568418 4705136836 9410273672 18820547344 37641094688 75282189376