Search a number
-
+
2038138477 is a prime number
BaseRepresentation
bin111100101111011…
…1000011001101101
312021001010011101021
41321132320121231
513133230412402
6534124214141
7101335614454
oct17136703155
95231104337
102038138477
11956526671
1248a69a351
1326633b7cb
14154985b9b
15bdde7d37
hex797b866d

2038138477 has 2 divisors, whose sum is σ = 2038138478. Its totient is φ = 2038138476.

The previous prime is 2038138463. The next prime is 2038138561. The reversal of 2038138477 is 7748318302.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1344395556 + 693742921 = 36666^2 + 26339^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2038138477 is a prime.

It is a super-3 number, since 3×20381384773 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2038108477) 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, 1019069238 + 1019069239.

It is an arithmetic number, because the mean of its divisors is an integer number (1019069239).

Almost surely, 22038138477 is an apocalyptic number.

It is an amenable number.

2038138477 is a deficient number, since it is larger than the sum of its proper divisors (1).

2038138477 is an equidigital number, since it uses as much as digits as its factorization.

2038138477 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 225792, while the sum is 43.

The square root of 2038138477 is about 45145.7470532940. The cubic root of 2038138477 is about 1267.8792549313.

The spelling of 2038138477 in words is "two billion, thirty-eight million, one hundred thirty-eight thousand, four hundred seventy-seven".