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4282361137329 = 311199457650609
BaseRepresentation
bin111110010100010000100…
…111010100100010110001
3120011101112002222122221020
4332110100213110202301
51030130233422343304
613035142313050053
7621250621035042
oct76242047244261
916141462878836
104282361137329
111401159248310
12591b4a0b6929
13250a9547c3a2
1410b3a59c08c9
15765d9d495d9
hex3e5109d48b1

4282361137329 has 16 divisors (see below), whose sum is σ = 6228929730240. Its totient is φ = 2595353384960.

The previous prime is 4282361137279. The next prime is 4282361137331. The reversal of 4282361137329 is 9237311632824.

It is a cyclic number.

It is not a de Polignac number, because 4282361137329 - 224 = 4282344360113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4282361137129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6256777 + ... + 6907385.

It is an arithmetic number, because the mean of its divisors is an integer number (389308108140).

Almost surely, 24282361137329 is an apocalyptic number.

It is an amenable number.

4282361137329 is a deficient number, since it is larger than the sum of its proper divisors (1946568592911).

4282361137329 is a wasteful number, since it uses less digits than its factorization.

4282361137329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850080.

The product of its digits is 2612736, while the sum is 51.

It can be divided in two parts, 428236 and 1137329, that added together give a triangular number (1565565 = T1769).

The spelling of 4282361137329 in words is "four trillion, two hundred eighty-two billion, three hundred sixty-one million, one hundred thirty-seven thousand, three hundred twenty-nine".

Divisors: 1 3 11 33 199457 598371 650609 1951827 2194027 6582081 7156699 21470097 129768519313 389305557939 1427453712443 4282361137329