Search a number
-
+
2971013049 = 32181692
BaseRepresentation
bin1011000100010110…
…0000111110111001
321200001111002201100
42301011200332321
522041034404144
61210451042013
7133424123424
oct26105407671
97601432640
102971013049
111295072094
126aaba0309
133846a56b4
1420281c9bb
15125c6a269
hexb1160fb9

2971013049 has 9 divisors (see below), whose sum is σ = 4291699503. Its totient is φ = 1980566352.

The previous prime is 2971013029. The next prime is 2971013051. The reversal of 2971013049 is 9403101792.

The square root of 2971013049 is 54507.

It is a perfect power (a square), and thus also a powerful number.

2971013049 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 430853049 + 2540160000 = 20757^2 + 50400^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 2971013049 - 27 = 2971012921 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2971013009) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 154437 + ... + 172605.

Almost surely, 22971013049 is an apocalyptic number.

2971013049 is the 54507-th square number.

2971013049 is the 27254-th centered octagonal number.

It is an amenable number.

2971013049 is a deficient number, since it is larger than the sum of its proper divisors (1320686454).

2971013049 is an frugal number, since it uses more digits than its factorization.

2971013049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36344 (or 18172 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The cubic root of 2971013049 is about 1437.5893709679.

Multiplying 2971013049 by its sum of digits (36), we get a square (106956469764 = 3270422).

The spelling of 2971013049 in words is "two billion, nine hundred seventy-one million, thirteen thousand, forty-nine".

Divisors: 1 3 9 18169 54507 163521 330112561 990337683 2971013049