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138864945937 is a prime number
BaseRepresentation
bin1000000101010011111…
…1101110101100010001
3111021102201220011021211
42001110333232230101
54233343411232222
6143443233420121
713014126364534
oct2012477565421
9437381804254
10138864945937
115398a707233
1222ab570a641
1310130689a83
146a149a6a1b
15392b264277
hex2054feeb11

138864945937 has 2 divisors, whose sum is σ = 138864945938. Its totient is φ = 138864945936.

The previous prime is 138864945887. The next prime is 138864945943. The reversal of 138864945937 is 739549468831.

138864945937 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., 101139264576 + 37725681361 = 318024^2 + 194231^2 .

It is a cyclic number.

It is not a de Polignac number, because 138864945937 - 227 = 138730728209 is a prime.

It is a super-3 number, since 3×1388649459373 (a number of 34 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (138864925937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 69432472968 + 69432472969.

It is an arithmetic number, because the mean of its divisors is an integer number (69432472969).

Almost surely, 2138864945937 is an apocalyptic number.

It is an amenable number.

138864945937 is a deficient number, since it is larger than the sum of its proper divisors (1).

138864945937 is an equidigital number, since it uses as much as digits as its factorization.

138864945937 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 156764160, while the sum is 67.

It can be divided in two parts, 138864 and 945937, that added together give a palindrome (1084801).

The spelling of 138864945937 in words is "one hundred thirty-eight billion, eight hundred sixty-four million, nine hundred forty-five thousand, nine hundred thirty-seven".