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55006487424 = 273375947
BaseRepresentation
bin110011001110101001…
…000110001110000000
312020222111102002021000
4303032221012032000
51400123130044144
641134123532000
73655053300000
oct631651061600
9166874362230
1055006487424
1121367801169
12a7b168a000
135258060415
14293b600000
15166e17d769
hexccea46380

55006487424 has 384 divisors, whose sum is σ = 189601516800. Its totient is φ = 15699543552.

The previous prime is 55006487411. The next prime is 55006487443. The reversal of 55006487424 is 42478460055.

55006487424 is a `hidden beast` number, since 5 + 500 + 64 + 87 + 4 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 55006487424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58084519 + ... + 58085465.

It is an arithmetic number, because the mean of its divisors is an integer number (493753950).

Almost surely, 255006487424 is an apocalyptic number.

55006487424 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55006487424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94800758400).

55006487424 is an abundant number, since it is smaller than the sum of its proper divisors (134595029376).

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

55006487424 is an frugal number, since it uses more digits than its factorization.

55006487424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 55006487424 in words is "fifty-five billion, six million, four hundred eighty-seven thousand, four hundred twenty-four".