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146640616335 = 3253258680363
BaseRepresentation
bin1000100010010001110…
…1100011101110001111
3112000111122012010211100
42020210131203232033
54400304444210320
6151211001154143
713410614446533
oct2104435435617
9460448163740
10146640616335
115720a894514
122450578b953
1310a9c5a7885
147151557bc3
153c33beb790
hex2224763b8f

146640616335 has 12 divisors (see below), whose sum is σ = 254177068392. Its totient is φ = 78208328688.

The previous prime is 146640616321. The next prime is 146640616393. The reversal of 146640616335 is 533616046641.

146640616335 is a `hidden beast` number, since 1 + 4 + 6 + 6 + 4 + 0 + 6 + 1 + 633 + 5 = 666.

146640616335 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 146640616335 - 210 = 146640615311 is a prime.

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: 3258680363 = 146640616335 / (1 + 4 + 6 + 6 + 4 + 0 + 6 + 1 + 6 + 3 + 3 + 5).

It is a congruent number.

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, 1629340137 + ... + 1629340226.

It is an arithmetic number, because the mean of its divisors is an integer number (21181422366).

Almost surely, 2146640616335 is an apocalyptic number.

146640616335 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

146640616335 is a deficient number, since it is larger than the sum of its proper divisors (107536452057).

146640616335 is a wasteful number, since it uses less digits than its factorization.

146640616335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3258680374 (or 3258680371 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 146640616335 in words is "one hundred forty-six billion, six hundred forty million, six hundred sixteen thousand, three hundred thirty-five".

Divisors: 1 3 5 9 15 45 3258680363 9776041089 16293401815 29328123267 48880205445 146640616335