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38181405953 is a prime number
BaseRepresentation
bin100011100011110010…
…100000010100000001
310122112221001101110102
4203203302200110001
51111143414442303
625312412012145
72521112411225
oct434362402401
9118487041412
1038181405953
1115213454459
127496a61055
1337a6382002
141bc2c54785
15ed7009288
hex8e3ca0501

38181405953 has 2 divisors, whose sum is σ = 38181405954. Its totient is φ = 38181405952.

The previous prime is 38181405949. The next prime is 38181405971. The reversal of 38181405953 is 35950418183.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 37011218689 + 1170187264 = 192383^2 + 34208^2 .

It is an emirp because it is prime and its reverse (35950418183) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 38181405953 - 22 = 38181405949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 38181405898 and 38181405907.

It is not a weakly prime, because it can be changed into another prime (38181405973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19090702976 + 19090702977.

It is an arithmetic number, because the mean of its divisors is an integer number (19090702977).

Almost surely, 238181405953 is an apocalyptic number.

It is an amenable number.

38181405953 is a deficient number, since it is larger than the sum of its proper divisors (1).

38181405953 is an equidigital number, since it uses as much as digits as its factorization.

38181405953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 518400, while the sum is 47.

The spelling of 38181405953 in words is "thirty-eight billion, one hundred eighty-one million, four hundred five thousand, nine hundred fifty-three".