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11106538806 = 23111935924671
BaseRepresentation
bin10100101100000000…
…00101010100110110
31001200000220122000010
422112000011110312
5140221233220211
65034031401050
7542142010416
oct122600052466
931600818003
1011106538806
11478a395aa0
12219b683186
13108001a46c
147750c4646
154500d64a6
hex296005536

11106538806 has 64 divisors (see below), whose sum is σ = 25579929600. Its totient is φ = 3179469600.

The previous prime is 11106538801. The next prime is 11106538811. The reversal of 11106538806 is 60883560111.

It is an interprime number because it is at equal distance from previous prime (11106538801) and next prime (11106538811).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11106538801) 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, 437851 + ... + 462521.

It is an arithmetic number, because the mean of its divisors is an integer number (399686400).

Almost surely, 211106538806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11106538806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12789964800).

11106538806 is an abundant number, since it is smaller than the sum of its proper divisors (14473390794).

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

11106538806 is a wasteful number, since it uses less digits than its factorization.

11106538806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25065.

The product of its (nonzero) digits is 34560, while the sum is 39.

The spelling of 11106538806 in words is "eleven billion, one hundred six million, five hundred thirty-eight thousand, eight hundred six".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 359 418 627 718 1077 1254 2154 3949 6821 7898 11847 13642 20463 23694 24671 40926 49342 74013 75031 148026 150062 225093 271381 450186 468749 542762 814143 937498 1406247 1628286 2812494 5156239 8856889 10312478 15468717 17713778 26570667 30937434 53141334 97425779 168280891 194851558 292277337 336561782 504842673 584554674 1009685346 1851089801 3702179602 5553269403 11106538806