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27657020144 = 2413613216911
BaseRepresentation
bin11001110000011111…
…001010001011110000
32122101110120012020102
4121300133022023300
5423120144121034
620412213531532
71666236535535
oct316037121360
978343505212
1027657020144
1110802737646
12543a343ba8
1327b9b51ca0
1414a51ccd8c
15abd0b797e
hex6707ca2f0

27657020144 has 40 divisors (see below), whose sum is σ = 57801842112. Its totient is φ = 12743896320.

The previous prime is 27657020123. The next prime is 27657020161. The reversal of 27657020144 is 44102075672.

It is a junction number, because it is equal to n+sod(n) for n = 27657020098 and 27657020107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19049 + ... + 235959.

Almost surely, 227657020144 is an apocalyptic number.

It is an amenable number.

27657020144 is an abundant number, since it is smaller than the sum of its proper divisors (30144821968).

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

27657020144 is a wasteful number, since it uses less digits than its factorization.

27657020144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217545 (or 217539 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 38.

The spelling of 27657020144 in words is "twenty-seven billion, six hundred fifty-seven million, twenty thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 104 208 613 1226 2452 4904 7969 9808 15938 31876 63752 127504 216911 433822 867644 1735288 2819843 3470576 5639686 11279372 22558744 45117488 132966443 265932886 531865772 1063731544 1728563759 2127463088 3457127518 6914255036 13828510072 27657020144