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55204791849 = 321742712
BaseRepresentation
bin110011011010011101…
…100100011000101001
312021111022112222210100
4303122131210120221
51401024411314344
641205530140013
73663011663004
oct633235443051
9167438488710
1055204791849
1121459736219
12a847b81609
13528a172a0c
142959aa053b
1516817a0569
hexcda764629

55204791849 has 45 divisors (see below), whose sum is σ = 85037749329. Its totient is φ = 34510484160.

The previous prime is 55204791841. The next prime is 55204791871. The reversal of 55204791849 is 94819740255.

It is a happy number.

The square root of 55204791849 is 234957.

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

55204791849 is a `hidden beast` number, since 5 + 520 + 4 + 79 + 1 + 8 + 49 = 666.

55204791849 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 17132977449 + 38071814400 = 130893^2 + 195120^2 .

It is not a de Polignac number, because 55204791849 - 23 = 55204791841 is a prime.

It is a super-3 number, since 3×552047918493 (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 55204791795 and 55204791804.

It is not an unprimeable number, because it can be changed into a prime (55204791841) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 203707584 + ... + 203707854.

Almost surely, 255204791849 is an apocalyptic number.

55204791849 is the 234957-th square number.

55204791849 is the 117479-th centered octagonal number.

It is an amenable number.

55204791849 is a deficient number, since it is larger than the sum of its proper divisors (29832957480).

55204791849 is an frugal number, since it uses more digits than its factorization.

55204791849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 55204791849 in words is "fifty-five billion, two hundred four million, seven hundred ninety-one thousand, eight hundred forty-nine".

Divisors: 1 3 9 17 51 153 271 289 813 867 2439 2601 4607 4913 13821 14739 41463 44217 73441 78319 83521 220323 234957 250563 660969 704871 751689 1248497 1331423 3745491 3994269 11236473 11982807 21224449 22634191 63673347 67902573 191020041 203707719 360815633 1082446899 3247340697 6133865761 18401597283 55204791849