Search a number
-
+
55834415208 = 23351121319312
BaseRepresentation
bin110011111111111111…
…011001000001101000
312100010012022011200000
4303333333121001220
51403322102241313
641352221143000
74014425461425
oct637777310150
9170105264600
1055834415208
1121752087600
12a9a29baa60
13535a741010
1429b9558d4c
1516bbbc0673
hexcfffd9068

55834415208 has 864 divisors, whose sum is σ = 201907087200. Its totient is φ = 14318726400.

The previous prime is 55834415179. The next prime is 55834415209. The reversal of 55834415208 is 80251443855.

55834415208 is a `hidden beast` number, since 5 + 5 + 83 + 4 + 41 + 520 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55834415209) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1801110153 + ... + 1801110183.

Almost surely, 255834415208 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 55834415208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100953543600).

55834415208 is an abundant number, since it is smaller than the sum of its proper divisors (146072671992).

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

55834415208 is a wasteful number, since it uses less digits than its factorization.

55834415208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 55834415208 in words is "fifty-five billion, eight hundred thirty-four million, four hundred fifteen thousand, two hundred eight".