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13831878433 is a prime number
BaseRepresentation
bin11001110000111000…
…11011011100100001
31022200222010020010211
430320130123130201
5211311430102213
610204305054121
7666524012122
oct147034333441
938628106124
1013831878433
115958809a9a
122820327341
1313c5836869
14953032049
1555e4c453d
hex33871b721

13831878433 has 2 divisors, whose sum is σ = 13831878434. Its totient is φ = 13831878432.

The previous prime is 13831878427. The next prime is 13831878439. The reversal of 13831878433 is 33487813831.

13831878433 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (13831878427) and next prime (13831878439).

It can be written as a sum of positive squares in only one way, i.e., 10590056464 + 3241821969 = 102908^2 + 56937^2 .

It is a cyclic number.

It is not a de Polignac number, because 13831878433 - 217 = 13831747361 is a prime.

It is not a weakly prime, because it can be changed into another prime (13831878439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6915939216 + 6915939217.

It is an arithmetic number, because the mean of its divisors is an integer number (6915939217).

Almost surely, 213831878433 is an apocalyptic number.

It is an amenable number.

13831878433 is a deficient number, since it is larger than the sum of its proper divisors (1).

13831878433 is an equidigital number, since it uses as much as digits as its factorization.

13831878433 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1161216, while the sum is 49.

The spelling of 13831878433 in words is "thirteen billion, eight hundred thirty-one million, eight hundred seventy-eight thousand, four hundred thirty-three".