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36127765145 = 52937611011093
BaseRepresentation
bin100001101001011000…
…011111001010011001
310110020210202121212202
4201221120133022121
51042442201441040
624332531215545
72416164636233
oct415130371231
9113223677782
1036127765145
111435a1aa74a
1270031475b5
133539a76334
141a6a1d5253
15e16a9d015
hex86961f299

36127765145 has 64 divisors (see below), whose sum is σ = 47322239040. Its totient is φ = 26417664000.

The previous prime is 36127765133. The next prime is 36127765147. The reversal of 36127765145 is 54156772163.

It can be written as a sum of positive squares in 32 ways, for example, as 3022690441 + 33105074704 = 54979^2 + 181948^2 .

It is not a de Polignac number, because 36127765145 - 24 = 36127765129 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 36127765145.

It is not an unprimeable number, because it can be changed into a prime (36127765147) 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, 33053219 + ... + 33054311.

It is an arithmetic number, because the mean of its divisors is an integer number (739409985).

Almost surely, 236127765145 is an apocalyptic number.

It is an amenable number.

36127765145 is a deficient number, since it is larger than the sum of its proper divisors (11194473895).

36127765145 is a wasteful number, since it uses less digits than its factorization.

36127765145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326.

The product of its digits is 1058400, while the sum is 47.

The spelling of 36127765145 in words is "thirty-six billion, one hundred twenty-seven million, seven hundred sixty-five thousand, one hundred forty-five".

Divisors: 1 5 29 37 61 101 145 185 305 505 1073 1093 1769 2257 2929 3737 5365 5465 6161 8845 11285 14645 18685 30805 31697 40441 65453 66673 108373 110393 158485 178669 202205 227957 327265 333365 541865 551965 893345 1139785 1172789 1933517 2466901 3201397 4084541 5863945 6610753 6733973 9667585 12334505 16006985 20422705 33053765 33669865 71540129 118451689 195285217 249157001 357700645 592258445 976426085 1245785005 7225553029 36127765145