Search a number
-
+
1272837638381 is a prime number
BaseRepresentation
bin10010100001011011000…
…010010000100011101101
311111200102020120111220212
4102201123002100203231
5131323232413412011
62412422235552205
7160650050261621
oct22413302204355
94450366514825
101272837638381
11450897733951
121868268bb665
13930498aa20a
1445869d61181
15231994bd08b
hex1285b0908ed

1272837638381 has 2 divisors, whose sum is σ = 1272837638382. Its totient is φ = 1272837638380.

The previous prime is 1272837638353. The next prime is 1272837638393. The reversal of 1272837638381 is 1838367382721.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1066934055625 + 205903582756 = 1032925^2 + 453766^2 .

It is a cyclic number.

It is not a de Polignac number, because 1272837638381 - 214 = 1272837621997 is a prime.

It is a super-2 number, since 2×12728376383812 (a number of 25 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1272837638381.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1272837638881) 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, 636418819190 + 636418819191.

It is an arithmetic number, because the mean of its divisors is an integer number (636418819191).

Almost surely, 21272837638381 is an apocalyptic number.

It is an amenable number.

1272837638381 is a deficient number, since it is larger than the sum of its proper divisors (1).

1272837638381 is an equidigital number, since it uses as much as digits as its factorization.

1272837638381 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 16257024, while the sum is 59.

The spelling of 1272837638381 in words is "one trillion, two hundred seventy-two billion, eight hundred thirty-seven million, six hundred thirty-eight thousand, three hundred eighty-one".