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40536724000169 is a prime number
BaseRepresentation
bin10010011011110001100010…
…00010001100110110101001
312022112021100222211020010102
421031320301002030312221
520303123202321001134
6222114151450155145
711352452544551105
oct1115706102146651
9168467328736112
1040536724000169
1111a095899a9431
124668356a22ab5
13198079ab69847
14a01db8b7a905
154a46be92537e
hex24de3108cda9

40536724000169 has 2 divisors, whose sum is σ = 40536724000170. Its totient is φ = 40536724000168.

The previous prime is 40536724000141. The next prime is 40536724000189. The reversal of 40536724000169 is 96100042763504.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 38602922265625 + 1933801734544 = 6213125^2 + 1390612^2 .

It is a cyclic number.

It is not a de Polignac number, because 40536724000169 - 28 = 40536723999913 is a prime.

It is a super-2 number, since 2×405367240001692 (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (40536724000189) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20268362000084 + 20268362000085.

It is an arithmetic number, because the mean of its divisors is an integer number (20268362000085).

Almost surely, 240536724000169 is an apocalyptic number.

It is an amenable number.

40536724000169 is a deficient number, since it is larger than the sum of its proper divisors (1).

40536724000169 is an equidigital number, since it uses as much as digits as its factorization.

40536724000169 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1088640, while the sum is 47.

The spelling of 40536724000169 in words is "forty trillion, five hundred thirty-six billion, seven hundred twenty-four million, one hundred sixty-nine", and thus it is an aban number.