Search a number
-
+
1135784837268 = 2236389500973
BaseRepresentation
bin10000100001110010000…
…011010100000010010100
311000120122210112212000000
4100201302003110002110
5122102041404243033
62225434454451300
7145025543553114
oct20416203240224
94016583485000
101135784837268
113a8757a26974
12164158063b30
13831477a33b3
143cd87d13044
151e8273b0a13
hex108720d4094

1135784837268 has 42 divisors (see below), whose sum is σ = 2980071952074. Its totient is φ = 378594944784.

The previous prime is 1135784837261. The next prime is 1135784837279. The reversal of 1135784837268 is 8627384875311.

It is a happy number.

1135784837268 is a `hidden beast` number, since 1 + 1 + 3 + 578 + 4 + 8 + 37 + 26 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1121697046404 + 14087790864 = 1059102^2 + 118692^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1135784837261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 194747571 + ... + 194753402.

It is an arithmetic number, because the mean of its divisors is an integer number (70954094097).

Almost surely, 21135784837268 is an apocalyptic number.

1135784837268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1135784837268 is an abundant number, since it is smaller than the sum of its proper divisors (1844287114806).

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

1135784837268 is an equidigital number, since it uses as much as digits as its factorization.

1135784837268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389500995 (or 389500978 counting only the distinct ones).

The product of its digits is 54190080, while the sum is 63.

The spelling of 1135784837268 in words is "one trillion, one hundred thirty-five billion, seven hundred eighty-four million, eight hundred thirty-seven thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 389500973 779001946 1168502919 1558003892 2337005838 3505508757 4674011676 7011017514 10516526271 14022035028 21033052542 31549578813 42066105084 63099157626 94648736439 126198315252 189297472878 283946209317 378594945756 567892418634 1135784837268