Search a number
-
+
1974812290081 is a prime number
BaseRepresentation
bin11100101111001011111…
…111000010110000100001
320222210100001201121112221
4130233023333002300201
5224323403421240311
64111114412551041
7262450455334321
oct34571377026041
96883301647487
101974812290081
116a15710665a4
1227a894782481
131142bb1878c7
146b81d603281
1536581acc671
hex1cbcbfc2c21

1974812290081 has 2 divisors, whose sum is σ = 1974812290082. Its totient is φ = 1974812290080.

The previous prime is 1974812290079. The next prime is 1974812290103. The reversal of 1974812290081 is 1800922184791.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1689976600081 + 284835690000 = 1299991^2 + 533700^2 .

It is an emirp because it is prime and its reverse (1800922184791) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1974812290081 - 21 = 1974812290079 is a prime.

It is a super-2 number, since 2×19748122900812 (a number of 25 digits) contains 22 as substring.

Together with 1974812290079, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1974812290181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 987406145040 + 987406145041.

It is an arithmetic number, because the mean of its divisors is an integer number (987406145041).

Almost surely, 21974812290081 is an apocalyptic number.

It is an amenable number.

1974812290081 is a deficient number, since it is larger than the sum of its proper divisors (1).

1974812290081 is an equidigital number, since it uses as much as digits as its factorization.

1974812290081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 580608, while the sum is 52.

The spelling of 1974812290081 in words is "one trillion, nine hundred seventy-four billion, eight hundred twelve million, two hundred ninety thousand, eighty-one".