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1106006016 = 212390007
BaseRepresentation
bin100000111101100…
…0101000000000000
32212002010221000210
41001323011000000
54231114143031
6301425314120
736256616223
oct10173050000
92762127023
101106006016
11518347765
1226a495940
131481a463b
14a6c635ba
1567170746
hex41ec5000

1106006016 has 52 divisors (see below), whose sum is σ = 2949022112. Its totient is φ = 368664576.

The previous prime is 1106005969. The next prime is 1106006059. The reversal of 1106006016 is 6106006011.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1106005983 and 1106006001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 32716 + ... + 57291.

Almost surely, 21106006016 is an apocalyptic number.

1106006016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1106006016 is an abundant number, since it is smaller than the sum of its proper divisors (1843016096).

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

1106006016 is an frugal number, since it uses more digits than its factorization.

1106006016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90034 (or 90012 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 1106006016 is about 33256.6687447796. The cubic root of 1106006016 is about 1034.1554612631.

The spelling of 1106006016 in words is "one billion, one hundred six million, six thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 4096 6144 12288 90007 180014 270021 360028 540042 720056 1080084 1440112 2160168 2880224 4320336 5760448 8640672 11520896 17281344 23041792 34562688 46083584 69125376 92167168 138250752 184334336 276501504 368668672 553003008 1106006016