Search a number
-
+
55388884864 = 274736725087
BaseRepresentation
bin110011100101011011…
…110100111110000000
312021222010221212221011
4303211123310332000
51401414023303424
641240104010304
74000405516225
oct634533647600
9167863855834
1055388884864
1121543644005
12a899760994
1352b934a8b1
14297630194c
151692a16694
hexce56f4f80

55388884864 has 64 divisors (see below), whose sum is σ = 113004380160. Its totient is φ = 27030265344.

The previous prime is 55388884861. The next prime is 55388884891. The reversal of 55388884864 is 46848888355.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 55388884864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55388884861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2195329 + ... + 2220415.

It is an arithmetic number, because the mean of its divisors is an integer number (1765693440).

Almost surely, 255388884864 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 55388884864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56502190080).

55388884864 is an abundant number, since it is smaller than the sum of its proper divisors (57615495296).

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

55388884864 is a wasteful number, since it uses less digits than its factorization.

55388884864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25515 (or 25503 counting only the distinct ones).

The product of its digits is 235929600, while the sum is 67.

The spelling of 55388884864 in words is "fifty-five billion, three hundred eighty-eight million, eight hundred eighty-four thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 367 376 734 752 1468 1504 2936 3008 5872 6016 11744 17249 23488 25087 34498 46976 50174 68996 100348 137992 200696 275984 401392 551968 802784 1103936 1179089 1605568 2207872 2358178 3211136 4716356 9206929 9432712 18413858 18865424 36827716 37730848 73655432 75461696 147310864 150923392 294621728 432725663 589243456 865451326 1178486912 1730902652 3461805304 6923610608 13847221216 27694442432 55388884864