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40152353477689 is a prime number
BaseRepresentation
bin10010010000100101100101…
…10001000001010000111001
312021011112020112212120122101
421020102302301001100321
520230324004442241224
6221221423032023401
711312624515166665
oct1110226261012071
9167145215776571
1040152353477689
111188057684a902
124605965b31b61
1319534735c436b
149cb5546598a5
154996c5233044
hex2484b2c41439

40152353477689 has 2 divisors, whose sum is σ = 40152353477690. Its totient is φ = 40152353477688.

The previous prime is 40152353477671. The next prime is 40152353477827. The reversal of 40152353477689 is 98677435325104.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 39970465728400 + 181887749289 = 6322220^2 + 426483^2 .

It is a cyclic number.

It is not a de Polignac number, because 40152353477689 - 29 = 40152353477177 is a prime.

It is a super-2 number, since 2×401523534776892 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40152353477689.

It is not a weakly prime, because it can be changed into another prime (40152353477629) 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 as a sum of consecutive naturals, namely, 20076176738844 + 20076176738845.

It is an arithmetic number, because the mean of its divisors is an integer number (20076176738845).

It is a 1-persistent number, because it is pandigital, but 2⋅40152353477689 = 80304706955378 is not.

Almost surely, 240152353477689 is an apocalyptic number.

It is an amenable number.

40152353477689 is a deficient number, since it is larger than the sum of its proper divisors (1).

40152353477689 is an equidigital number, since it uses as much as digits as its factorization.

40152353477689 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 152409600, while the sum is 64.

The spelling of 40152353477689 in words is "forty trillion, one hundred fifty-two billion, three hundred fifty-three million, four hundred seventy-seven thousand, six hundred eighty-nine".