Search a number
-
+
11106327888 = 2432375214001
BaseRepresentation
bin10100101011111110…
…10001110101010000
31001200000111220200100
422111333101311100
5140221204443023
65034023052400
7542140141455
oct122577216520
931600456610
1011106327888
11478a261587
12219b5a1100
13107cc75466
1477506b82c
15450093c43
hex295fd1d50

11106327888 has 120 divisors (see below), whose sum is σ = 31991619816. Its totient is φ = 3594240000.

The previous prime is 11106327877. The next prime is 11106327901. The reversal of 11106327888 is 88872360111.

It is a happy number.

11106327888 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 632 + 7 + 8 + 8 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 520387344 + 10585940544 = 22812^2 + 102888^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2773888 + ... + 2777888.

Almost surely, 211106327888 is an apocalyptic number.

11106327888 is a gapful number since it is divisible by the number (18) 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 11106327888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15995809908).

11106327888 is an abundant number, since it is smaller than the sum of its proper divisors (20885291928).

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

11106327888 is a wasteful number, since it uses less digits than its factorization.

11106327888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4573 (or 4564 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

Adding to 11106327888 its reverse (88872360111), we get a palindrome (99978687999).

The spelling of 11106327888 in words is "eleven billion, one hundred six million, three hundred twenty-seven thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 521 592 666 888 1042 1332 1563 1776 2084 2664 3126 4001 4168 4689 5328 6252 8002 8336 9378 12003 12504 16004 18756 19277 24006 25008 32008 36009 37512 38554 48012 57831 64016 72018 75024 77108 96024 115662 144036 148037 154216 173493 192048 231324 288072 296074 308432 346986 444111 462648 576144 592148 693972 888222 925296 1184296 1332333 1387944 1776444 2084521 2368592 2664666 2775888 3552888 4169042 5329332 6253563 7105776 8338084 10658664 12507126 16676168 18760689 21317328 25014252 33352336 37521378 50028504 75042756 77127277 100057008 150085512 154254554 231381831 300171024 308509108 462763662 617018216 694145493 925527324 1234036432 1388290986 1851054648 2776581972 3702109296 5553163944 11106327888