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5055022205505 = 325123019132089
BaseRepresentation
bin100100110001111011011…
…0011011000101001000001
3122220020220012002202211100
41021203312303120221001
51130310141141034010
614430124541205013
71031133106535346
oct111436663305101
918806805082740
105055022205505
111679906283978
12697844860769
132a88c0468b0c
141369430b87cd
158b75ce572c0
hex498f6cd8a41

5055022205505 has 24 divisors (see below), whose sum is σ = 8762751752040. Its totient is φ = 2695792377600.

The previous prime is 5055022205503. The next prime is 5055022205537.

5055022205505 is a `hidden beast` number, since 50 + 5 + 50 + 2 + 2 + 2 + 0 + 550 + 5 = 666.

5055022205505 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 16752642624 + 5038269562881 = 129432^2 + 2244609^2 .

It is not a de Polignac number, because 5055022205505 - 21 = 5055022205503 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 5055022205505.

It is not an unprimeable number, because it can be changed into a prime (5055022205503) 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, 4012500 + ... + 5119589.

It is an arithmetic number, because the mean of its divisors is an integer number (365114656335).

Almost surely, 25055022205505 is an apocalyptic number.

It is an amenable number.

5055022205505 is a deficient number, since it is larger than the sum of its proper divisors (3707729546535).

5055022205505 is a wasteful number, since it uses less digits than its factorization.

5055022205505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9144401 (or 9144398 counting only the distinct ones).

The product of its (nonzero) digits is 125000, while the sum is 36.

The spelling of 5055022205505 in words is "five trillion, fifty-five billion, twenty-two million, two hundred five thousand, five hundred five".

Divisors: 1 3 5 9 15 45 12301 36903 61505 110709 184515 553545 9132089 27396267 45660445 82188801 136981335 410944005 112333826789 337001480367 561669133945 1011004441101 1685007401835 5055022205505