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3656456045 = 511219312331
BaseRepresentation
bin1101100111110001…
…0001011101101101
3100102211021012201222
43121330101131231
524442023043140
61402454313125
7156416235464
oct33174213555
910384235658
103656456045
111606a79600
128606587a5
134636b8c78
142698879db
151660145b5
hexd9f1176d

3656456045 has 72 divisors (see below), whose sum is σ = 5261628960. Its totient is φ = 2430648000.

The previous prime is 3656456017. The next prime is 3656456077. The reversal of 3656456045 is 5406546563.

It is not a de Polignac number, because 3656456045 - 212 = 3656451949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3656455987 and 3656456005.

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 71 ways as a sum of consecutive naturals, for example, 11046530 + ... + 11046860.

It is an arithmetic number, because the mean of its divisors is an integer number (73078180).

Almost surely, 23656456045 is an apocalyptic number.

It is an amenable number.

3656456045 is a deficient number, since it is larger than the sum of its proper divisors (1605172915).

3656456045 is a wasteful number, since it uses less digits than its factorization.

3656456045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 44.

The square root of 3656456045 is about 60468.6368706952. The cubic root of 3656456045 is about 1540.5889753970.

The spelling of 3656456045 in words is "three billion, six hundred fifty-six million, four hundred fifty-six thousand, forty-five".

Divisors: 1 5 11 19 31 55 95 121 155 209 331 341 589 605 961 1045 1655 1705 2299 2945 3641 3751 4805 6289 6479 10261 10571 11495 18205 18259 18755 31445 32395 40051 51305 52855 69179 71269 91295 112871 116281 194959 200255 200849 318091 345895 356345 564355 581405 760969 974795 1004245 1241581 1590455 2144549 2209339 3499001 3804845 6043729 6207905 10722745 11046695 17495005 23590039 30218645 38489011 66481019 117950195 192445055 332405095 731291209 3656456045