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40536724000189 is a prime number
BaseRepresentation
bin10010011011110001100010…
…00010001100110110111101
312022112021100222211020011011
421031320301002030312331
520303123202321001224
6222114151450155221
711352452544551134
oct1115706102146675
9168467328736134
1040536724000189
1111a095899a944a
124668356a22b11
13198079ab69861
14a01db8b7a91b
154a46be925394
hex24de3108cdbd

40536724000189 has 2 divisors, whose sum is σ = 40536724000190. Its totient is φ = 40536724000188.

The previous prime is 40536724000169. The next prime is 40536724000277. The reversal of 40536724000189 is 98100042763504.

It is a happy number.

40536724000189 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 34235956322500 + 6300767677689 = 5851150^2 + 2510133^2 .

It is a cyclic number.

It is not a de Polignac number, because 40536724000189 - 219 = 40536723475901 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (40536724000169) 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 as a sum of consecutive naturals, namely, 20268362000094 + 20268362000095.

It is an arithmetic number, because the mean of its divisors is an integer number (20268362000095).

It is a 1-persistent number, because it is pandigital, but 2⋅40536724000189 = 81073448000378 is not.

Almost surely, 240536724000189 is an apocalyptic number.

It is an amenable number.

40536724000189 is a deficient number, since it is larger than the sum of its proper divisors (1).

40536724000189 is an equidigital number, since it uses as much as digits as its factorization.

40536724000189 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1451520, while the sum is 49.

The spelling of 40536724000189 in words is "forty trillion, five hundred thirty-six billion, seven hundred twenty-four million, one hundred eighty-nine", and thus it is an aban number.