Search a number
-
+
2788145729 is a prime number
BaseRepresentation
bin1010011000101111…
…1011101001000001
321012022101110220122
42212023323221001
521202231130404
61140355350025
7126043563515
oct24613735101
97168343818
102788145729
111200921176
126598b2315
13355839695
141c641a145
15114b973be
hexa62fba41

2788145729 has 2 divisors, whose sum is σ = 2788145730. Its totient is φ = 2788145728.

The previous prime is 2788145699. The next prime is 2788145777. The reversal of 2788145729 is 9275418872.

2788145729 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2296326400 + 491819329 = 47920^2 + 22177^2 .

It is a cyclic number.

It is not a de Polignac number, because 2788145729 - 220 = 2787097153 is a prime.

It is a super-2 number, since 2×27881457292 = 15547513212281882882, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2788145029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1394072864 + 1394072865.

It is an arithmetic number, because the mean of its divisors is an integer number (1394072865).

Almost surely, 22788145729 is an apocalyptic number.

It is an amenable number.

2788145729 is a deficient number, since it is larger than the sum of its proper divisors (1).

2788145729 is an equidigital number, since it uses as much as digits as its factorization.

2788145729 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2257920, while the sum is 53.

The square root of 2788145729 is about 52802.8950816146. The cubic root of 2788145729 is about 1407.4678711405.

The spelling of 2788145729 in words is "two billion, seven hundred eighty-eight million, one hundred forty-five thousand, seven hundred twenty-nine".