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2429736745 = 57361710789
BaseRepresentation
bin1001000011010010…
…1101011100101001
320021022222102012211
42100310231130221
514434003033440
61041033405121
7114132264412
oct22064553451
96238872184
102429736745
1110375831a7
125798697a1
132c94cab67
141909a0809
15e349beea
hex90d2d729

2429736745 has 16 divisors (see below), whose sum is σ = 2960689680. Its totient is φ = 1913877504.

The previous prime is 2429736737. The next prime is 2429736763. The reversal of 2429736745 is 5476379242.

It can be written as a sum of positive squares in 8 ways, for example, as 314104729 + 2115632016 = 17723^2 + 45996^2 .

It is a cyclic number.

It is not a de Polignac number, because 2429736745 - 23 = 2429736737 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219811 + ... + 230599.

It is an arithmetic number, because the mean of its divisors is an integer number (185043105).

Almost surely, 22429736745 is an apocalyptic number.

It is an amenable number.

2429736745 is a deficient number, since it is larger than the sum of its proper divisors (530952935).

2429736745 is a wasteful number, since it uses less digits than its factorization.

2429736745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11484.

The product of its digits is 2540160, while the sum is 49.

The square root of 2429736745 is about 49292.3599049589. The cubic root of 2429736745 is about 1344.3728727403.

It can be divided in two parts, 2429736 and 745, that added together give a square (2430481 = 15592).

The spelling of 2429736745 in words is "two billion, four hundred twenty-nine million, seven hundred thirty-six thousand, seven hundred forty-five".

Divisors: 1 5 73 365 617 3085 10789 45041 53945 225205 787597 3937985 6656813 33284065 485947349 2429736745