Search a number
-
+
33554601133 is a prime number
BaseRepresentation
bin11111010000000000…
…101001010010101101
310012121110220100102221
4133100000221102231
51022204434214013
623225331315341
72265341255314
oct372000512255
9105543810387
1033554601133
1113259774519
12660544bb51
13321993b191
1418a457b27b
15d15c1e08d
hex7d00294ad

33554601133 has 2 divisors, whose sum is σ = 33554601134. Its totient is φ = 33554601132.

The previous prime is 33554601109. The next prime is 33554601137. The reversal of 33554601133 is 33110645533.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33255899044 + 298702089 = 182362^2 + 17283^2 .

It is a cyclic number.

It is not a de Polignac number, because 33554601133 - 221 = 33552503981 is a prime.

It is a super-3 number, since 3×335546011333 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33554601137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16777300566 + 16777300567.

It is an arithmetic number, because the mean of its divisors is an integer number (16777300567).

Almost surely, 233554601133 is an apocalyptic number.

It is an amenable number.

33554601133 is a deficient number, since it is larger than the sum of its proper divisors (1).

33554601133 is an equidigital number, since it uses as much as digits as its factorization.

33554601133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48600, while the sum is 34.

The spelling of 33554601133 in words is "thirty-three billion, five hundred fifty-four million, six hundred one thousand, one hundred thirty-three".