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4083519475984 = 24132388612
BaseRepresentation
bin111011011011000100101…
…110100101000100010000
3112110101021111022200100111
4323123010232211010100
51013401021441212414
612403535402131104
7601011263561464
oct73330456450420
915411244280314
104083519475984
1113348a1318093
1255b4b64b0a94
132380c7128900
141019016a64a4
157134d4318c4
hex3b6c4ba5110

4083519475984 has 45 divisors (see below), whose sum is σ = 8567456406159. Its totient is φ = 1884652798080.

The previous prime is 4083519475951. The next prime is 4083519475993. The reversal of 4083519475984 is 4895749153804.

The square root of 4083519475984 is 2020772.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 5833904400 + 4077685571584 = 76380^2 + 2019328^2 .

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 105060714 + ... + 105099574.

Almost surely, 24083519475984 is an apocalyptic number.

4083519475984 is the 2020772-nd square number.

It is an amenable number.

4083519475984 is an abundant number, since it is smaller than the sum of its proper divisors (4483936930175).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4083519475984 is an frugal number, since it uses more digits than its factorization.

4083519475984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77756 (or 38876 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 67.

The spelling of 4083519475984 in words is "four trillion, eighty-three billion, five hundred nineteen million, four hundred seventy-five thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2704 38861 77722 155444 310888 505193 621776 1010386 2020772 4041544 6567509 8083088 13135018 26270036 52540072 105080144 1510177321 3020354642 6040709284 12081418568 19632305173 24162837136 39264610346 78529220692 157058441384 255219967249 314116882768 510439934498 1020879868996 2041759737992 4083519475984