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38290144153 is a prime number
BaseRepresentation
bin100011101010010001…
…010011101110011001
310122211111122212020011
4203222101103232121
51111404234103103
625331254401521
72523602566222
oct435221235631
9118744585204
1038290144153
1115269874038
1275073602a1
1337c2a64c41
141bd347c249
15ee1837d6d
hex8ea453b99

38290144153 has 2 divisors, whose sum is σ = 38290144154. Its totient is φ = 38290144152.

The previous prime is 38290144147. The next prime is 38290144181. The reversal of 38290144153 is 35144109283.

It is a happy number.

38290144153 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., 28308735504 + 9981408649 = 168252^2 + 99907^2 .

It is a cyclic number.

It is not a de Polignac number, because 38290144153 - 25 = 38290144121 is a prime.

It is a super-2 number, since 2×382901441532 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (38290144183) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19145072076 + 19145072077.

It is an arithmetic number, because the mean of its divisors is an integer number (19145072077).

Almost surely, 238290144153 is an apocalyptic number.

It is an amenable number.

38290144153 is a deficient number, since it is larger than the sum of its proper divisors (1).

38290144153 is an equidigital number, since it uses as much as digits as its factorization.

38290144153 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 38290144153 in words is "thirty-eight billion, two hundred ninety million, one hundred forty-four thousand, one hundred fifty-three".