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11032638444 = 223217101178487
BaseRepresentation
bin10100100011001100…
…01011001111101100
31001110212212002202200
422101212023033230
5140043323412234
65022431421500
7540253610442
oct122146131754
931425762680
1011032638444
114751700613
12217a984890
13106a914539
14769368b92
15448889d99
hex29198b3ec

11032638444 has 72 divisors (see below), whose sum is σ = 29821061088. Its totient is φ = 3426931200.

The previous prime is 11032638377. The next prime is 11032638451. The reversal of 11032638444 is 44483623011.

11032638444 is a `hidden beast` number, since 1 + 10 + 3 + 2 + 638 + 4 + 4 + 4 = 666.

11032638444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×110326384442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11032638399 and 11032638408.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 27432 + ... + 151055.

It is an arithmetic number, because the mean of its divisors is an integer number (414181404).

Almost surely, 211032638444 is an apocalyptic number.

It is an amenable number.

11032638444 is an abundant number, since it is smaller than the sum of its proper divisors (18788422644).

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

11032638444 is a wasteful number, since it uses less digits than its factorization.

11032638444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178615 (or 178610 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 11032638444 in words is "eleven billion, thirty-two million, six hundred thirty-eight thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 101 102 153 202 204 303 306 404 606 612 909 1212 1717 1818 3434 3636 5151 6868 10302 15453 20604 30906 61812 178487 356974 535461 713948 1070922 1606383 2141844 3034279 3212766 6068558 6425532 9102837 12137116 18027187 18205674 27308511 36054374 36411348 54081561 54617022 72108748 108163122 109234044 162244683 216326244 306462179 324489366 612924358 648978732 919386537 1225848716 1838773074 2758159611 3677546148 5516319222 11032638444