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38184108961 is a prime number
BaseRepresentation
bin100011100011111100…
…110100001110100001
310122120010010201021211
4203203330310032201
51111200112441321
625312545550121
72521144366555
oct434374641641
9118503121254
1038184108961
1115214a30249
127497945341
1337a6aba41b
141bc3359865
15ed73900e1
hex8e3f343a1

38184108961 has 2 divisors, whose sum is σ = 38184108962. Its totient is φ = 38184108960.

The previous prime is 38184108947. The next prime is 38184108967. The reversal of 38184108961 is 16980148183.

38184108961 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 can be written as a sum of positive squares in only one way, i.e., 30465607936 + 7718501025 = 174544^2 + 87855^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-38184108961 is a prime.

It is not a weakly prime, because it can be changed into another prime (38184108967) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19092054480 + 19092054481.

It is an arithmetic number, because the mean of its divisors is an integer number (19092054481).

Almost surely, 238184108961 is an apocalyptic number.

It is an amenable number.

38184108961 is a deficient number, since it is larger than the sum of its proper divisors (1).

38184108961 is an equidigital number, since it uses as much as digits as its factorization.

38184108961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 331776, while the sum is 49.

The spelling of 38184108961 in words is "thirty-eight billion, one hundred eighty-four million, one hundred eight thousand, nine hundred sixty-one".