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4053065427 = 3219127193967
BaseRepresentation
bin1111000110010100…
…1101111011010011
3101110110120001112100
43301211031323103
531300041043202
61510103131443
7202303326165
oct36145157323
911413501470
104053065427
11179a939054
12951443b83
134c7911188
142a6408935
1518ac5841c
hexf194ded3

4053065427 has 48 divisors (see below), whose sum is σ = 6249717760. Its totient is φ = 2523902976.

The previous prime is 4053065413. The next prime is 4053065441. The reversal of 4053065427 is 7245603504.

4053065427 is a `hidden beast` number, since 40 + 530 + 65 + 4 + 27 = 666.

It is an interprime number because it is at equal distance from previous prime (4053065413) and next prime (4053065441).

It is not a de Polignac number, because 4053065427 - 24 = 4053065411 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4053065391 and 4053065400.

It is not an unprimeable number, because it can be changed into a prime (4053065407) 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 47 ways as a sum of consecutive naturals, for example, 4190898 + ... + 4191864.

Almost surely, 24053065427 is an apocalyptic number.

4053065427 is a deficient number, since it is larger than the sum of its proper divisors (2196652333).

4053065427 is a wasteful number, since it uses less digits than its factorization.

4053065427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 4053065427 is about 63663.6900202934. The cubic root of 4053065427 is about 1594.3899131260.

The spelling of 4053065427 in words is "four billion, fifty-three million, sixty-five thousand, four hundred twenty-seven".

Divisors: 1 3 9 19 57 127 171 193 381 579 967 1143 1737 2413 2901 3667 7239 8703 11001 18373 21717 24511 33003 55119 73533 122809 165357 186631 220599 368427 465709 559893 1105281 1397127 1679679 2333371 3545989 4191381 7000113 10637967 21000339 23702137 31913901 71106411 213319233 450340603 1351021809 4053065427