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527713112750445 = 325349289711598757
BaseRepresentation
bin111011111111100111100100…
…0101000001111100101101101
32120012110212210011110021012100
41313333033020220033211231
51023132022423331003240
65110204020210325313
7216104004610556466
oct16777171050174555
92505425704407170
10527713112750445
11143166968771286
124b22a405889839
131985c19629abbb
14944564552dd6d
15410206830ee30
hex1dff3c8a0f96d

527713112750445 has 48 divisors (see below), whose sum is σ = 917640378673200. Its totient is φ = 280543658084352.

The previous prime is 527713112750443. The next prime is 527713112750573. The reversal of 527713112750445 is 544057211317725.

527713112750445 is a `hidden beast` number, since 5 + 2 + 7 + 7 + 1 + 3 + 1 + 127 + 504 + 4 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 64595008558404 + 463118104192041 = 8037102^2 + 21520179^2 .

It is not a de Polignac number, because 527713112750445 - 21 = 527713112750443 is a prime.

It is a super-2 number, since 2×5277131127504452 (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 527713112750391 and 527713112750400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (527713112750443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39698007 + ... + 51296763.

It is an arithmetic number, because the mean of its divisors is an integer number (19117507889025).

Almost surely, 2527713112750445 is an apocalyptic number.

It is an amenable number.

527713112750445 is a deficient number, since it is larger than the sum of its proper divisors (389927265922755).

527713112750445 is a wasteful number, since it uses less digits than its factorization.

527713112750445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11602014 (or 11602011 counting only the distinct ones).

The product of its (nonzero) digits is 8232000, while the sum is 54.

The spelling of 527713112750445 in words is "five hundred twenty-seven trillion, seven hundred thirteen billion, one hundred twelve million, seven hundred fifty thousand, four hundred forty-five".

Divisors: 1 3 5 9 15 45 349 1047 1745 2897 3141 5235 8691 14485 15705 26073 43455 130365 1011053 3033159 5055265 9099477 11598757 15165795 34796271 45497385 57993785 104388813 173981355 521944065 4047966193 12143898579 20239830965 33601599029 36431695737 60719492895 100804797087 168007995145 182158478685 302414391261 504023985435 1512071956305 11726958061121 35180874183363 58634790305605 105542622550089 175904370916815 527713112750445