Search a number
-
+
149553880733 is a prime number
BaseRepresentation
bin1000101101001000011…
…0110001111010011101
3112022000200000022021202
42023102012301322131
54422241243140413
6152412030405245
713543041003665
oct2132206617235
9468020008252
10149553880733
11584752a3144
1224b99360825
1311145010c6a
14734a4231a5
153d5485ae58
hex22d21b1e9d

149553880733 has 2 divisors, whose sum is σ = 149553880734. Its totient is φ = 149553880732.

The previous prime is 149553880709. The next prime is 149553880741. The reversal of 149553880733 is 337088355941.

149553880733 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 148118759044 + 1435121689 = 384862^2 + 37883^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-149553880733 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (149553880033) 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, 74776940366 + 74776940367.

It is an arithmetic number, because the mean of its divisors is an integer number (74776940367).

Almost surely, 2149553880733 is an apocalyptic number.

It is an amenable number.

149553880733 is a deficient number, since it is larger than the sum of its proper divisors (1).

149553880733 is an equidigital number, since it uses as much as digits as its factorization.

149553880733 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10886400, while the sum is 56.

The spelling of 149553880733 in words is "one hundred forty-nine billion, five hundred fifty-three million, eight hundred eighty thousand, seven hundred thirty-three".