Search a number
-
+
33977807389 is a prime number
BaseRepresentation
bin11111101001001111…
…000011001000011101
310020200222020110021201
4133221033003020131
51024041304314024
623335330155501
72312000411641
oct375117031035
9106628213251
1033977807389
111345664a659
126703122b91
133286516396
141904862c21
15d3ce68744
hex7e93c321d

33977807389 has 2 divisors, whose sum is σ = 33977807390. Its totient is φ = 33977807388.

The previous prime is 33977807371. The next prime is 33977807429. The reversal of 33977807389 is 98370877933.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 31723172100 + 2254635289 = 178110^2 + 47483^2 .

It is a cyclic number.

It is not a de Polignac number, because 33977807389 - 27 = 33977807261 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 33977807389.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33977807189) 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, 16988903694 + 16988903695.

It is an arithmetic number, because the mean of its divisors is an integer number (16988903695).

Almost surely, 233977807389 is an apocalyptic number.

It is an amenable number.

33977807389 is a deficient number, since it is larger than the sum of its proper divisors (1).

33977807389 is an equidigital number, since it uses as much as digits as its factorization.

33977807389 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48009024, while the sum is 64.

The spelling of 33977807389 in words is "thirty-three billion, nine hundred seventy-seven million, eight hundred seven thousand, three hundred eighty-nine".