Search a number
-
+
10844864060 = 22517211151169
BaseRepresentation
bin10100001100110011…
…10111111000111100
31000222210112011201212
422012121313320330
5134202241122220
64552043023552
7532513552322
oct120631677074
930883464655
1010844864060
114665708978
122127b0abb8
13103aa4ab34
1474c449d12
154371480c5
hex286677e3c

10844864060 has 48 divisors (see below), whose sum is σ = 24228318240. Its totient is φ = 4063395840.

The previous prime is 10844864059. The next prime is 10844864117. The reversal of 10844864060 is 6046844801.

It is a super-2 number, since 2×108448640602 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10844863999 and 10844864017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3845 + ... + 147324.

It is an arithmetic number, because the mean of its divisors is an integer number (504756630).

Almost surely, 210844864060 is an apocalyptic number.

10844864060 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 10844864060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12114159120).

10844864060 is an abundant number, since it is smaller than the sum of its proper divisors (13383454180).

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

10844864060 is a wasteful number, since it uses less digits than its factorization.

10844864060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151406 (or 151404 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 41.

The spelling of 10844864060 in words is "ten billion, eight hundred forty-four million, eight hundred sixty-four thousand, sixty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 211 340 422 844 1055 2110 3587 4220 7174 14348 17935 35870 71740 151169 302338 604676 755845 1511690 2569873 3023380 5139746 10279492 12849365 25698730 31896659 51397460 63793318 127586636 159483295 318966590 542243203 637933180 1084486406 2168972812 2711216015 5422432030 10844864060