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76071299353 = 7266110972141
BaseRepresentation
bin100011011011000110…
…0111110100100011001
321021100112120101212121
41012312030332210121
52221243223034403
654540251541241
75332055242600
oct1066614764431
9237315511777
1076071299353
112a2972a1145
12128b015a821
13723421848a
1439790a4a37
151ea362e3bd
hex11b633e919

76071299353 has 24 divisors (see below), whose sum is σ = 88747198344. Its totient is φ = 65015596800.

The previous prime is 76071299347. The next prime is 76071299393. The reversal of 76071299353 is 35399217067.

It can be written as a sum of positive squares in 4 ways, for example, as 33287272704 + 42784026649 = 182448^2 + 206843^2 .

It is a de Polignac number, because none of the positive numbers 2k-76071299353 is a prime.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 76071299353.

It is not an unprimeable number, because it can be changed into a prime (76071299393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35529663 + ... + 35531803.

It is an arithmetic number, because the mean of its divisors is an integer number (3697799931).

Almost surely, 276071299353 is an apocalyptic number.

It is an amenable number.

76071299353 is a deficient number, since it is larger than the sum of its proper divisors (12675898991).

76071299353 is a wasteful number, since it uses less digits than its factorization.

76071299353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3913 (or 3906 counting only the distinct ones).

The product of its (nonzero) digits is 2143260, while the sum is 52.

The spelling of 76071299353 in words is "seventy-six billion, seventy-one million, two hundred ninety-nine thousand, three hundred fifty-three".

Divisors: 1 7 49 661 1097 2141 4627 7679 14987 32389 53753 104909 725117 1415201 2348677 5075819 9906407 16440739 35530733 69344849 115085173 1552475497 10867328479 76071299353