Search a number
-
+
1084542235920 = 243451113290031
BaseRepresentation
bin11111100100000111100…
…00010011010100010000
310211200101121112222210000
433302003300103110100
5120232120303022140
62150122024010000
7141232652620653
oct17620360232420
93750347488700
101084542235920
11388a51900060
12156237000900
137b36c474600
143a6c656389a
151d3288b7a30
hexfc83c13510

1084542235920 has 600 divisors, whose sum is σ = 4449667381632. Its totient is φ = 242692070400.

The previous prime is 1084542235883. The next prime is 1084542235979. The reversal of 1084542235920 is 295322454801.

1084542235920 is a `hidden beast` number, since 1 + 0 + 8 + 4 + 54 + 2 + 2 + 3 + 592 + 0 = 666.

It is a super-2 number, since 2×10845422359202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 12001305 + ... + 12091335.

Almost surely, 21084542235920 is an apocalyptic number.

1084542235920 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 1084542235920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2224833690816).

1084542235920 is an abundant number, since it is smaller than the sum of its proper divisors (3365125145712).

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

1084542235920 is a wasteful number, since it uses less digits than its factorization.

1084542235920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90093 (or 90065 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 1084542235920 in words is "one trillion, eighty-four billion, five hundred forty-two million, two hundred thirty-five thousand, nine hundred twenty".