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48156985809 = 343726592
BaseRepresentation
bin101100110110011000…
…010100100111010001
311121022010212100110000
4230312120110213101
51242111142021214
634042323200213
73323242424352
oct546630244721
9147263770400
1048156985809
11194723aa229
1293bb816069
134705c9c19a
14248ba5bd29
1513bcb91809
hexb366149d1

48156985809 has 45 divisors (see below), whose sum is σ = 74047400427. Its totient is φ = 31189563216.

The previous prime is 48156985717. The next prime is 48156985817. The reversal of 48156985809 is 90858965184.

The square root of 48156985809 is 219447.

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

48156985809 is a `hidden beast` number, since 48 + 1 + 5 + 6 + 9 + 8 + 580 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 43091532225 + 5065453584 = 207585^2 + 71172^2 .

It is not a de Polignac number, because 48156985809 - 235 = 13797247441 is a prime.

It is not an unprimeable number, because it can be changed into a prime (48156985109) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 73075522 + ... + 73076180.

Almost surely, 248156985809 is an apocalyptic number.

48156985809 is the 219447-th square number.

48156985809 is the 109724-th centered octagonal number.

It is an amenable number.

48156985809 is a deficient number, since it is larger than the sum of its proper divisors (25890414618).

48156985809 is an frugal number, since it uses more digits than its factorization.

48156985809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1404 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 63.

The spelling of 48156985809 in words is "forty-eight billion, one hundred fifty-six million, nine hundred eighty-five thousand, eight hundred nine".

Divisors: 1 3 9 27 37 81 111 333 659 999 1369 1977 2997 4107 5931 12321 17793 24383 36963 53379 73149 110889 219447 434281 658341 902171 1302843 1975023 2706513 3908529 8119539 11725587 16068397 24358617 35176761 48205191 73075851 144615573 433846719 594530689 1301540157 1783592067 5350776201 16052328603 48156985809