Search a number
-
+
2285468787888 = 24341113217411361
BaseRepresentation
bin100001010000100000100…
…011100010010010110000
322002111012020201211010000
4201100200203202102300
5244421120002203023
64505532503510000
7324056022110466
oct41204043422260
98074166654100
102285468787888
11801297604380
1230ab32a58300
131376989c1400
147c88db5a836
153e6b4ac7243
hex214208e24b0

2285468787888 has 1200 divisors, whose sum is σ = 8481610079712. Its totient is φ = 586579968000.

The previous prime is 2285468787821. The next prime is 2285468787911. The reversal of 2285468787888 is 8887878645822.

2285468787888 is a `hidden beast` number, since 2 + 2 + 8 + 5 + 468 + 7 + 8 + 78 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1679256328 + ... + 1679257688.

Almost surely, 22285468787888 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 2285468787888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4240805039856).

2285468787888 is an abundant number, since it is smaller than the sum of its proper divisors (6196141291824).

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

2285468787888 is a wasteful number, since it uses less digits than its factorization.

2285468787888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1476 (or 1448 counting only the distinct ones).

The product of its digits is 6165626880, while the sum is 81.

The spelling of 2285468787888 in words is "two trillion, two hundred eighty-five billion, four hundred sixty-eight million, seven hundred eighty-seven thousand, eight hundred eighty-eight".