Search a number
-
+
2555289846144 = 27347231530803
BaseRepresentation
bin100101001011110011001…
…001001100000110000000
3100001021122112122202120000
4211023303021030012000
5313331213200034034
65233514533320000
7352420315214220
oct45136311140600
910037575582500
102555289846144
118a5768558002
12353295496000
13156c69364929
148b968b94080
1546707ab2599
hex252f324c180

2555289846144 has 320 divisors, whose sum is σ = 9068727824640. Its totient is φ = 698339625984.

The previous prime is 2555289846139. The next prime is 2555289846203. The reversal of 2555289846144 is 4416489825552.

2555289846144 is a `hidden beast` number, since 2 + 5 + 5 + 5 + 2 + 8 + 9 + 8 + 4 + 614 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 903847 + ... + 2434649.

It is an arithmetic number, because the mean of its divisors is an integer number (28339774452).

Almost surely, 22555289846144 is an apocalyptic number.

2555289846144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2555289846144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4534363912320).

2555289846144 is an abundant number, since it is smaller than the sum of its proper divisors (6513437978496).

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

2555289846144 is a wasteful number, since it uses less digits than its factorization.

2555289846144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1530859 (or 1530838 counting only the distinct ones).

The product of its digits is 110592000, while the sum is 63.

The spelling of 2555289846144 in words is "two trillion, five hundred fifty-five billion, two hundred eighty-nine million, eight hundred forty-six thousand, one hundred forty-four".