Search a number
-
+
55665601056 = 25331316992917
BaseRepresentation
bin110011110101111011…
…011010101000100000
312022200102122112012000
4303311323122220200
51403000343213211
641323351004000
74010305542042
oct636573325040
9168612575160
1055665601056
1121675864a7a
12a956369600
1353317856a0
1429a0d73a92
1516abe76656
hexcf5edaa20

55665601056 has 192 divisors, whose sum is σ = 175009968000. Its totient is φ = 17111927808.

The previous prime is 55665601051. The next prime is 55665601073. The reversal of 55665601056 is 65010656655.

It is not an unprimeable number, because it can be changed into a prime (55665601051) 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 31 ways as a sum of consecutive naturals, for example, 19081710 + ... + 19084626.

It is an arithmetic number, because the mean of its divisors is an integer number (911510250).

Almost surely, 255665601056 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 55665601056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87504984000).

55665601056 is an abundant number, since it is smaller than the sum of its proper divisors (119344366944).

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

55665601056 is a wasteful number, since it uses less digits than its factorization.

55665601056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4648 (or 4634 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 45.

The spelling of 55665601056 in words is "fifty-five billion, six hundred sixty-five million, six hundred one thousand, fifty-six".