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75078291141529 = 13289274892
BaseRepresentation
bin10001000100100010000110…
…110111111011001110011001
3100211211102012012022222002021
4101010202012313323032121
534320040320013012104
6423402254002534441
721546141021101134
oct2104420667731631
9324742165288067
1075078291141529
1121a16585076035
128506813967421
1332b7b10b74400
141477b4703721b
158a2e5a682754
hex444886dfb399

75078291141529 has 27 divisors (see below), whose sum is σ = 82232496929943. Its totient is φ = 68515202156544.

The previous prime is 75078291141521. The next prime is 75078291141611. The reversal of 75078291141529 is 92514119287057.

The square root of 75078291141529 is 8664773.

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

It can be written as a sum of positive squares in 13 ways, for example, as 74752537862025 + 325753279504 = 8645955^2 + 570748^2 .

It is not a de Polignac number, because 75078291141529 - 23 = 75078291141521 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (75078291141521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10025138617 + ... + 10025146105.

Almost surely, 275078291141529 is an apocalyptic number.

75078291141529 is the 8664773-rd square number.

75078291141529 is the 4332387-th centered octagonal number.

It is an amenable number.

75078291141529 is a deficient number, since it is larger than the sum of its proper divisors (7154205788414).

75078291141529 is an frugal number, since it uses more digits than its factorization.

75078291141529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15182 (or 7591 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 61.

The spelling of 75078291141529 in words is "seventy-five trillion, seventy-eight billion, two hundred ninety-one million, one hundred forty-one thousand, five hundred twenty-nine".

Divisors: 1 13 89 169 1157 7489 7921 15041 97357 102973 666521 1265641 1338649 8664773 56085121 59320369 112642049 729106573 771164797 4991575769 9478385449 10025142361 64890484997 444250243441 843576304961 5775253164733 75078291141529