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2067429961 = 41211092
BaseRepresentation
bin111101100111010…
…0111101001001001
312100002020022202001
41323032213221021
513213230224321
6541052111001
7102142602412
oct17316475111
95302208661
102067429961
11971012803
12498465461
1326c42614c
1415880c809
15c1781c91
hex7b3a7a49

2067429961 has 9 divisors (see below), whose sum is σ = 2120997493. Its totient is φ = 2015186080.

The previous prime is 2067429953. The next prime is 2067430009. The reversal of 2067429961 is 1699247602.

The square root of 2067429961 is 45469.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1825938361 + 241491600 = 42731^2 + 15540^2 .

It is not a de Polignac number, because 2067429961 - 23 = 2067429953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2067429941) 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, 1863675 + ... + 1864783.

Almost surely, 22067429961 is an apocalyptic number.

2067429961 is the 45469-th square number.

2067429961 is the 22735-th centered octagonal number.

It is an amenable number.

2067429961 is a deficient number, since it is larger than the sum of its proper divisors (53567532).

2067429961 is an frugal number, since it uses more digits than its factorization.

2067429961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2300 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 46.

The cubic root of 2067429961 is about 1273.9242415974.

The spelling of 2067429961 in words is "two billion, sixty-seven million, four hundred twenty-nine thousand, nine hundred sixty-one".

Divisors: 1 41 1109 1681 45469 1229881 1864229 50425121 2067429961