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55006106048 = 267115180167
BaseRepresentation
bin110011001110100111…
…101001000111000000
312020222110200201002222
4303032213221013000
51400123030343143
641134111430212
73655050121055
oct631647510700
9166873621088
1055006106048
1121367570683
12a7b1525368
135257c5895a
14293b54102c
15166e105768
hexcce9e91c0

55006106048 has 56 divisors (see below), whose sum is σ = 111424541184. Its totient is φ = 26935776000.

The previous prime is 55006105997. The next prime is 55006106059. The reversal of 55006106048 is 84060160055.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 55006105999 and 55006106017.

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, 646061 + ... + 726227.

Almost surely, 255006106048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55006106048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55712270592).

55006106048 is an abundant number, since it is smaller than the sum of its proper divisors (56418435136).

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

55006106048 is a wasteful number, since it uses less digits than its factorization.

55006106048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80401 (or 80391 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The spelling of 55006106048 in words is "fifty-five billion, six million, one hundred six thousand, forty-eight".

Divisors: 1 2 4 8 16 32 64 71 142 151 284 302 568 604 1136 1208 2272 2416 4544 4832 9664 10721 21442 42884 80167 85768 160334 171536 320668 343072 641336 686144 1282672 2565344 5130688 5691857 11383714 12105217 22767428 24210434 45534856 48420868 91069712 96841736 182139424 193683472 364278848 387366944 774733888 859470407 1718940814 3437881628 6875763256 13751526512 27503053024 55006106048