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2542131297 = 3489352633
BaseRepresentation
bin1001011110000101…
…1101100001100001
320120011110122120000
42113201131201201
520201241200142
61100130410213
7116665521336
oct22741354141
96504418500
102542131297
111094a6a962
125ab430969
13316891104
141a189a98d
15ed29e14c
hex9785d861

2542131297 has 20 divisors (see below), whose sum is σ = 3840184260. Its totient is φ = 1675707264.

The previous prime is 2542131247. The next prime is 2542131299. The reversal of 2542131297 is 7921312452.

2542131297 is a `hidden beast` number, since 2 + 542 + 13 + 12 + 97 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1490037201 + 1052094096 = 38601^2 + 32436^2 .

It is not a de Polignac number, because 2542131297 - 28 = 2542131041 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2542131299) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 169108 + ... + 183525.

It is an arithmetic number, because the mean of its divisors is an integer number (192009213).

Almost surely, 22542131297 is an apocalyptic number.

2542131297 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

2542131297 is a deficient number, since it is larger than the sum of its proper divisors (1298052963).

2542131297 is an equidigital number, since it uses as much as digits as its factorization.

2542131297 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352734 (or 352725 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 2542131297 is about 50419.5527251085. The cubic root of 2542131297 is about 1364.7905052239.

The spelling of 2542131297 in words is "two billion, five hundred forty-two million, one hundred thirty-one thousand, two hundred ninety-seven".

Divisors: 1 3 9 27 81 89 267 801 2403 7209 352633 1057899 3173697 9521091 28563273 31384337 94153011 282459033 847377099 2542131297