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54544201209 = 32778492
BaseRepresentation
bin110010110011000101…
…100111010111111001
312012210021112111210100
4302303011213113321
51343201303414314
641020211310013
73640441026531
oct626305472771
9165707474710
1054544201209
112114a863743
12a6a28ab309
1351b3351394
1428d60644c1
1516437b4c09
hexcb31675f9

54544201209 has 9 divisors (see below), whose sum is σ = 78787080463. Its totient is φ = 36362333712.

The previous prime is 54544201199. The next prime is 54544201219. The reversal of 54544201209 is 90210244545.

It is a happy number.

The square root of 54544201209 is 233547.

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

54544201209 is a `hidden beast` number, since 5 + 4 + 5 + 442 + 0 + 1 + 209 = 666.

It is an interprime number because it is at equal distance from previous prime (54544201199) and next prime (54544201219).

It can be written as a sum of positive squares in only one way, i.e., 7991823609 + 46552377600 = 89397^2 + 215760^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 54544201209 - 219 = 54543676921 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (54544201219) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 661717 + ... + 739565.

Almost surely, 254544201209 is an apocalyptic number.

54544201209 is the 233547-th square number.

54544201209 is the 116774-th centered octagonal number.

It is an amenable number.

54544201209 is a deficient number, since it is larger than the sum of its proper divisors (24242879254).

54544201209 is an frugal number, since it uses more digits than its factorization.

54544201209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155704 (or 77852 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Multiplying 54544201209 by its sum of digits (36), we get a square (1963591243524 = 14012822).

The spelling of 54544201209 in words is "fifty-four billion, five hundred forty-four million, two hundred one thousand, two hundred nine".

Divisors: 1 3 9 77849 233547 700641 6060466801 18181400403 54544201209