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38793904129 is a prime number
BaseRepresentation
bin100100001000010011…
…000000000000000001
310201010121120112000001
4210020103000000001
51113422214413004
625453252000001
72542230513211
oct441023000001
9121117515001
1038793904129
11154a81693a2
127628000001
133873235576
141c40332241
151020b951a4
hex9084c0001

38793904129 has 2 divisors, whose sum is σ = 38793904130. Its totient is φ = 38793904128.

The previous prime is 38793904117. The next prime is 38793904147. The reversal of 38793904129 is 92140939783.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 24716556225 + 14077347904 = 157215^2 + 118648^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-38793904129 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 38793904129.

It is not a weakly prime, because it can be changed into another prime (38793904159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19396952064 + 19396952065.

It is an arithmetic number, because the mean of its divisors is an integer number (19396952065).

It is a Proth number, since it is equal to 147987 ⋅ 218 + 1 and 147987 < 218.

Almost surely, 238793904129 is an apocalyptic number.

It is an amenable number.

38793904129 is a deficient number, since it is larger than the sum of its proper divisors (1).

38793904129 is an equidigital number, since it uses as much as digits as its factorization.

38793904129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2939328, while the sum is 55.

The spelling of 38793904129 in words is "thirty-eight billion, seven hundred ninety-three million, nine hundred four thousand, one hundred twenty-nine".