Search a number
-
+
10067811876029 is a prime number
BaseRepresentation
bin1001001010000001100001…
…0110011011110010111101
31022122110210010020110220102
42102200120112123302331
52304422334320013104
633225031112530445
72056242522646625
oct222403026336275
938573703213812
1010067811876029
11323180a378176
1211672619b0a25
1358051016bc5b
1426b3db2b9885
15126d483d0a1e
hex9281859bcbd

10067811876029 has 2 divisors, whose sum is σ = 10067811876030. Its totient is φ = 10067811876028.

The previous prime is 10067811875987. The next prime is 10067811876041. The reversal of 10067811876029 is 92067811876001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7129594216900 + 2938217659129 = 2670130^2 + 1714123^2 .

It is a cyclic number.

It is not a de Polignac number, because 10067811876029 - 216 = 10067811810493 is a prime.

It is a super-2 number, since 2×100678118760292 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10067811836029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5033905938014 + 5033905938015.

It is an arithmetic number, because the mean of its divisors is an integer number (5033905938015).

Almost surely, 210067811876029 is an apocalyptic number.

It is an amenable number.

10067811876029 is a deficient number, since it is larger than the sum of its proper divisors (1).

10067811876029 is an equidigital number, since it uses as much as digits as its factorization.

10067811876029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2032128, while the sum is 56.

The spelling of 10067811876029 in words is "ten trillion, sixty-seven billion, eight hundred eleven million, eight hundred seventy-six thousand, twenty-nine".