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75361210607141 = 19295346110335419
BaseRepresentation
bin10001001000101001100110…
…001100000010011000100101
3100212211110110100012221111122
4101020221212030002120211
534334204224403412031
6424140243500543325
721605445023632244
oct2110514614023045
9325743410187448
1075361210607141
11220155677a8008
128551610b51b45
1333086bb0c3224
1414877058d495b
158aa4b855c47b
hex448a66302625

75361210607141 has 64 divisors (see below), whose sum is σ = 83889346464000. Its totient is φ = 67407839815680.

The previous prime is 75361210607107. The next prime is 75361210607147. The reversal of 75361210607141 is 14170601216357.

It is a cyclic number.

It is not a de Polignac number, because 75361210607141 - 218 = 75361210344997 is a prime.

It is a super-2 number, since 2×753612106071412 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 75361210607092 and 75361210607101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75361210607147) 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 63 ways as a sum of consecutive naturals, for example, 13906845530 + ... + 13906850948.

It is an arithmetic number, because the mean of its divisors is an integer number (1310771038500).

Almost surely, 275361210607141 is an apocalyptic number.

It is an amenable number.

75361210607141 is a deficient number, since it is larger than the sum of its proper divisors (8528135856859).

75361210607141 is a wasteful number, since it uses less digits than its factorization.

75361210607141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7014.

The product of its (nonzero) digits is 211680, while the sum is 44.

The spelling of 75361210607141 in words is "seventy-five trillion, three hundred sixty-one billion, two hundred ten million, six hundred seven thousand, one hundred forty-one".

Divisors: 1 19 29 53 461 551 1007 1033 1537 5419 8759 13369 19627 24433 29203 29957 54749 102961 157151 254011 287207 464227 476213 569183 708557 1040231 1587721 2498159 2985869 5456933 5597827 8329003 9048047 13462583 13810177 25239289 30166699 47465021 72446611 106358713 132402427 158251057 162336983 262393363 296684831 479546491 731939381 1376485609 2515646113 2580598247 3084402677 3839670383 5637011789 8603860099 13906848239 49031366693 72953737277 74837349163 136771707091 163473341881 1421909634097 2598662434729 3966379505639 75361210607141