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38676132401519 is a prime number
BaseRepresentation
bin10001100101100111111010…
…01000100001000101101111
312001221101212011110221010102
420302303331020201011233
520032132204343322034
6214131323035101315
711101154421113654
oct1062637510410557
9161841764427112
1038676132401519
1111361501501988
12440783a5a183b
1318771b37508b2
14979d1311bc2b
154710c575a97e
hex232cfd22116f

38676132401519 has 2 divisors, whose sum is σ = 38676132401520. Its totient is φ = 38676132401518.

The previous prime is 38676132401509. The next prime is 38676132401521. The reversal of 38676132401519 is 91510423167683.

38676132401519 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-38676132401519 is a prime.

It is a super-2 number, since 2×386761324015192 (a number of 28 digits) contains 22 as substring.

Together with 38676132401521, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (38676132401509) 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, 19338066200759 + 19338066200760.

It is an arithmetic number, because the mean of its divisors is an integer number (19338066200760).

It is a 1-persistent number, because it is pandigital, but 2⋅38676132401519 = 77352264803038 is not.

Almost surely, 238676132401519 is an apocalyptic number.

38676132401519 is a deficient number, since it is larger than the sum of its proper divisors (1).

38676132401519 is an equidigital number, since it uses as much as digits as its factorization.

38676132401519 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6531840, while the sum is 56.

The spelling of 38676132401519 in words is "thirty-eight trillion, six hundred seventy-six billion, one hundred thirty-two million, four hundred one thousand, five hundred nineteen".