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2335552350345 = 32551901163341
BaseRepresentation
bin100001111111001001110…
…001001010100010001001
322021021110122210101212200
4201333021301022202021
5301231202400202340
64544534332230413
7330511110264534
oct41771161124211
98237418711780
102335552350345
11820558461105
1231878b90b409
1313c31ab6ab76
14810815dda1b
1540b46976330
hex21fc9c4a889

2335552350345 has 12 divisors (see below), whose sum is σ = 4048290740676. Its totient is φ = 1245627920160.

The previous prime is 2335552350323. The next prime is 2335552350413. The reversal of 2335552350345 is 5430532555332.

2335552350345 is a `hidden beast` number, since 2 + 3 + 3 + 5 + 552 + 3 + 50 + 3 + 45 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 606337870329 + 1729214480016 = 778677^2 + 1314996^2 .

It is not a de Polignac number, because 2335552350345 - 27 = 2335552350217 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 51901163341 = 2335552350345 / (2 + 3 + 3 + 5 + 5 + 5 + 2 + 3 + 5 + 0 + 3 + 4 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 2335552350345.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 25950581626 + ... + 25950581715.

It is an arithmetic number, because the mean of its divisors is an integer number (337357561723).

Almost surely, 22335552350345 is an apocalyptic number.

It is an amenable number.

2335552350345 is a deficient number, since it is larger than the sum of its proper divisors (1712738390331).

2335552350345 is a wasteful number, since it uses less digits than its factorization.

2335552350345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51901163352 (or 51901163349 counting only the distinct ones).

The product of its (nonzero) digits is 4050000, while the sum is 45.

The spelling of 2335552350345 in words is "two trillion, three hundred thirty-five billion, five hundred fifty-two million, three hundred fifty thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 45 51901163341 155703490023 259505816705 467110470069 778517450115 2335552350345