Search a number
-
+
1813144205088 = 25326295639601
BaseRepresentation
bin11010011000100111110…
…100001111011100100000
320102100001010200222010100
4122120213310033130200
5214201304404030323
63504540312502400
7244665255311466
oct32304764173440
96370033628110
101813144205088
11639a4a6a94a7
122534963aaa00
13101c95467258
1463a84354836
153226d992943
hex1a627d0f720

1813144205088 has 36 divisors (see below), whose sum is σ = 5156128834038. Its totient is φ = 604381401600.

The previous prime is 1813144205071. The next prime is 1813144205099. The reversal of 1813144205088 is 8805024413181.

1813144205088 is a `hidden beast` number, since 1 + 8 + 131 + 4 + 4 + 2 + 0 + 508 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1761427987344 + 51716217744 = 1327188^2 + 227412^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3147819513 + ... + 3147820088.

Almost surely, 21813144205088 is an apocalyptic number.

1813144205088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1813144205088 is an abundant number, since it is smaller than the sum of its proper divisors (3342984628950).

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

1813144205088 is a wasteful number, since it uses less digits than its factorization.

1813144205088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6295639617 (or 6295639606 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 1813144205088 in words is "one trillion, eight hundred thirteen billion, one hundred forty-four million, two hundred five thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 6295639601 12591279202 18886918803 25182558404 37773837606 50365116808 56660756409 75547675212 100730233616 113321512818 151095350424 201460467232 226643025636 302190700848 453286051272 604381401696 906572102544 1813144205088