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2731005261 = 331937143881
BaseRepresentation
bin1010001011000111…
…1101010101001101
321001022212102221000
42202301331111031
521043114132021
61130554530513
7124451106315
oct24261752515
97038772830
102731005261
111181643746
12642736a39
13346a5115a
141bc9c4445
1510eb5bb26
hexa2c7d54d

2731005261 has 32 divisors (see below), whose sum is σ = 4374012800. Its totient is φ = 1678216320.

The previous prime is 2731005247. The next prime is 2731005269. The reversal of 2731005261 is 1625001372.

It is a happy number.

It is not a de Polignac number, because 2731005261 - 27 = 2731005133 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2731005269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52960 + ... + 90921.

It is an arithmetic number, because the mean of its divisors is an integer number (136687900).

Almost surely, 22731005261 is an apocalyptic number.

It is an amenable number.

2731005261 is a deficient number, since it is larger than the sum of its proper divisors (1643007539).

2731005261 is a wasteful number, since it uses less digits than its factorization.

2731005261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143946 (or 143940 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 2731005261 is about 52259.0208576472. The cubic root of 2731005261 is about 1397.7865125566.

The spelling of 2731005261 in words is "two billion, seven hundred thirty-one million, five thousand, two hundred sixty-one".

Divisors: 1 3 9 19 27 37 57 111 171 333 513 703 999 2109 6327 18981 143881 431643 1294929 2733739 3884787 5323597 8201217 15970791 24603651 47912373 73810953 101148343 143737119 303445029 910335087 2731005261