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11023005444 = 223112917916087
BaseRepresentation
bin10100100010000010…
…11011011100000100
31001110012201200202220
422101001123130010
5140033342133234
65021445132340
7540106000053
oct122101333404
931405650686
1011023005444
114747221160
1221776ba0b0
131068920a39
14767d7c39a
15447ad5a49
hex29105b704

11023005444 has 96 divisors (see below), whose sum is σ = 29190067200. Its totient is φ = 3206904960.

The previous prime is 11023005443. The next prime is 11023005463. The reversal of 11023005444 is 44450032011.

It is not an unprimeable number, because it can be changed into a prime (11023005443) 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 31 ways as a sum of consecutive naturals, for example, 677169 + ... + 693255.

It is an arithmetic number, because the mean of its divisors is an integer number (304063200).

Almost surely, 211023005444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11023005444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14595033600).

11023005444 is an abundant number, since it is smaller than the sum of its proper divisors (18167061756).

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

11023005444 is a wasteful number, since it uses less digits than its factorization.

11023005444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16313 (or 16311 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 11023005444 its reverse (44450032011), we get a palindrome (55473037455).

The spelling of 11023005444 in words is "eleven billion, twenty-three million, five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 174 179 319 348 358 537 638 716 957 1074 1276 1914 1969 2148 3828 3938 5191 5907 7876 10382 11814 15573 16087 20764 23628 31146 32174 48261 57101 62292 64348 96522 114202 171303 176957 193044 228404 342606 353914 466523 530871 685212 707828 933046 1061742 1399569 1866092 2123484 2799138 2879573 5131753 5598276 5759146 8638719 10263506 11518292 15395259 17277438 20527012 30790518 31675303 34554876 61581036 63350606 83507617 95025909 126701212 167015234 190051818 250522851 334030468 380103636 501045702 918583787 1002091404 1837167574 2755751361 3674335148 5511502722 11023005444