Search a number
-
+
2553257550833 = 112149141619477
BaseRepresentation
bin100101001001111010000…
…000100110001111110001
3100001002101220112110111022
4211021322000212033301
5313313032413111313
65232541134225225
7352316050044053
oct45117200461761
910032356473438
102553257550833
118a4915362500
12352a08955215
13156a042c0922
148b814ccd8d3
1546639470c08
hex2527a0263f1

2553257550833 has 12 divisors (see below), whose sum is σ = 2825308586100. Its totient is φ = 2305565069280.

The previous prime is 2553257550799. The next prime is 2553257550839. The reversal of 2553257550833 is 3380557523552.

It can be written as a sum of positive squares in 2 ways, for example, as 103678848064 + 2449578702769 = 321992^2 + 1565113^2 .

It is not a de Polignac number, because 2553257550833 - 224 = 2553240773617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2553257550839) 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 11 ways as a sum of consecutive naturals, for example, 70791710 + ... + 70827767.

It is an arithmetic number, because the mean of its divisors is an integer number (235442382175).

Almost surely, 22553257550833 is an apocalyptic number.

It is an amenable number.

2553257550833 is a deficient number, since it is larger than the sum of its proper divisors (272051035267).

2553257550833 is a wasteful number, since it uses less digits than its factorization.

2553257550833 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141619648 (or 141619637 counting only the distinct ones).

The product of its (nonzero) digits is 18900000, while the sum is 53.

The spelling of 2553257550833 in words is "two trillion, five hundred fifty-three billion, two hundred fifty-seven million, five hundred fifty thousand, eight hundred thirty-three".

Divisors: 1 11 121 149 1639 18029 141619477 1557814247 17135956717 21101302073 232114322803 2553257550833