Search a number
-
+
1085811277824 = 2143971337
BaseRepresentation
bin11111100110011110110…
…01010100000000000000
310211210200001111000000000
433303033121110000000
5120242220141342244
62150452000000000
7141306262402410
oct17631731240000
93753601430000
101085811277824
11389543183019
12156530000000
137b512360490
143a7a6d06640
151d39eee0169
hexfccf654000

1085811277824 has 1200 divisors, whose sum is σ = 4117309336448. Its totient is φ = 278628139008.

The previous prime is 1085811277823. The next prime is 1085811277841. The reversal of 1085811277824 is 4287721185801.

1085811277824 is a `hidden beast` number, since 10 + 8 + 581 + 1 + 27 + 7 + 8 + 24 = 666.

It is a super-2 number, since 2×10858112778242 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085811277823) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 29346250734 + ... + 29346250770.

Almost surely, 21085811277824 is an apocalyptic number.

1085811277824 is a gapful number since it is divisible by the number (14) 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 1085811277824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2058654668224).

1085811277824 is an abundant number, since it is smaller than the sum of its proper divisors (3031498058624).

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

1085811277824 is an frugal number, since it uses more digits than its factorization.

1085811277824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 2007040, while the sum is 54.

The spelling of 1085811277824 in words is "one trillion, eighty-five billion, eight hundred eleven million, two hundred seventy-seven thousand, eight hundred twenty-four".