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55388681104 = 2417234612
BaseRepresentation
bin110011100101011011…
…000011001110010000
312021222010120112102111
4303211123003032100
51401414000243404
641240055355104
74000404010201
oct634533031620
9167863515374
1055388681104
1121543514a09
12a899682a94
1352b92a8c23
14297628b5a8
1516929c6104
hexce56c3390

55388681104 has 45 divisors (see below), whose sum is σ = 114032532211. Its totient is φ = 26057730560.

The previous prime is 55388681077. The next prime is 55388681123. The reversal of 55388681104 is 40118688355.

The square root of 55388681104 is 235348.

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

It can be written as a sum of positive squares in 4 ways, for example, as 47059600 + 55341621504 = 6860^2 + 235248^2 .

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 16001934 + ... + 16005394.

Almost surely, 255388681104 is an apocalyptic number.

55388681104 is the 235348-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55388681104

55388681104 is an abundant number, since it is smaller than the sum of its proper divisors (58643851107).

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

55388681104 is an frugal number, since it uses more digits than its factorization.

55388681104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6964 (or 3480 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 49.

Multiplying 55388681104 by its sum of digits (49), we get a square (2714045374096 = 16474362).

The spelling of 55388681104 in words is "fifty-five billion, three hundred eighty-eight million, six hundred eighty-one thousand, one hundred four".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 578 1156 2312 3461 4624 6922 13844 27688 55376 58837 117674 235348 470696 941392 1000229 2000458 4000916 8001832 11978521 16003664 23957042 47914084 95828168 191656336 203634857 407269714 814539428 1629078856 3258157712 3461792569 6923585138 13847170276 27694340552 55388681104