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138829126829 is a prime number
BaseRepresentation
bin1000000101001011011…
…1000101110010101101
3111021100020111100201012
42001102313011302231
54233310224024304
6143435513555005
713013213051621
oct2012267056255
9437306440635
10138829126829
1153971471868
1222aa5715a65
1310126128233
146a0dd21181
15392803b16e
hex2052dc5cad

138829126829 has 2 divisors, whose sum is σ = 138829126830. Its totient is φ = 138829126828.

The previous prime is 138829126819. The next prime is 138829126873. The reversal of 138829126829 is 928621928831.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85206777604 + 53622349225 = 291902^2 + 231565^2 .

It is a cyclic number.

It is not a de Polignac number, because 138829126829 - 232 = 134534159533 is a prime.

It is a super-2 number, since 2×1388291268292 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (138829126819) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 69414563414 + 69414563415.

It is an arithmetic number, because the mean of its divisors is an integer number (69414563415).

Almost surely, 2138829126829 is an apocalyptic number.

It is an amenable number.

138829126829 is a deficient number, since it is larger than the sum of its proper divisors (1).

138829126829 is an equidigital number, since it uses as much as digits as its factorization.

138829126829 is an evil number, because the sum of its binary digits is even.

The product of its digits is 5971968, while the sum is 59.

The spelling of 138829126829 in words is "one hundred thirty-eight billion, eight hundred twenty-nine million, one hundred twenty-six thousand, eight hundred twenty-nine".