Search a number
-
+
18270270738720 = 253257111321783691
BaseRepresentation
bin1000010011101111000001…
…11111110101000100100000
32101200121202120200201202200
410021313200333311010200
54343320003302114340
6102505125125013200
73563661224626110
oct411674077650440
971617676621680
1018270270738720
115904418588530
122070a98854200
13a26b5760a300
1447240041d040
1521a3b95bc330
hex109de0ff5120

18270270738720 has 3456 divisors, whose sum is σ = 90326537054208. Its totient is φ = 3253793587200.

The previous prime is 18270270738701. The next prime is 18270270738757. The reversal of 18270270738720 is 2783707207281.

18270270738720 is a `hidden beast` number, since 1 + 8 + 270 + 270 + 7 + 3 + 87 + 20 = 666.

It is a super-2 number, since 2×182702707387202 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 26440333575 + ... + 26440334265.

It is an arithmetic number, because the mean of its divisors is an integer number (26136150768).

Almost surely, 218270270738720 is an apocalyptic number.

18270270738720 is a gapful number since it is divisible by the number (10) 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 18270270738720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45163268527104).

18270270738720 is an abundant number, since it is smaller than the sum of its proper divisors (72056266315488).

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

18270270738720 is a wasteful number, since it uses less digits than its factorization.

18270270738720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 3687936, while the sum is 54.

The spelling of 18270270738720 in words is "eighteen trillion, two hundred seventy billion, two hundred seventy million, seven hundred thirty-eight thousand, seven hundred twenty".