Search a number
-
+
55083166848 = 2732197251967
BaseRepresentation
bin110011010011001101…
…100110110010000000
312021011211200210122200
4303103031212302000
51400302242314343
641145503233200
73660004123113
oct632315466200
9167154623580
1055083166848
11213a7014596
12a8132a8800
13526abca268
14294788057a
151675c784d3
hexcd3366c80

55083166848 has 192 divisors, whose sum is σ = 160112272320. Its totient is φ = 18176256000.

The previous prime is 55083166841. The next prime is 55083166849. The reversal of 55083166848 is 84866138055.

55083166848 is a `hidden beast` number, since 5 + 508 + 31 + 6 + 68 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 55083166794 and 55083166803.

It is not an unprimeable number, because it can be changed into a prime (55083166841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56962461 + ... + 56963427.

It is an arithmetic number, because the mean of its divisors is an integer number (833918085).

Almost surely, 255083166848 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 55083166848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80056136160).

55083166848 is an abundant number, since it is smaller than the sum of its proper divisors (105029105472).

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

55083166848 is a wasteful number, since it uses less digits than its factorization.

55083166848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1435 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 55083166848 in words is "fifty-five billion, eighty-three million, one hundred sixty-six thousand, eight hundred forty-eight".