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1106658816 = 293720481
BaseRepresentation
bin100000111110110…
…0100011000000000
32212010101002111120
41001331210120000
54231301040231
6301451312240
736265305354
oct10175443000
92763332446
101106658816
1151875316a
1226a74b680
13148372803
14a6d93464
156724dd96
hex41f64600

1106658816 has 40 divisors (see below), whose sum is σ = 2948212344. Its totient is φ = 368885760.

The previous prime is 1106658799. The next prime is 1106658827. The reversal of 1106658816 is 6188566011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 358705 + ... + 361776.

Almost surely, 21106658816 is an apocalyptic number.

1106658816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1106658816 is an abundant number, since it is smaller than the sum of its proper divisors (1841553528).

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

1106658816 is an frugal number, since it uses more digits than its factorization.

1106658816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720502 (or 720486 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The square root of 1106658816 is about 33266.4818698942. The cubic root of 1106658816 is about 1034.3588850834.

The spelling of 1106658816 in words is "one billion, one hundred six million, six hundred fifty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 720481 1440962 2161443 2881924 4322886 5763848 8645772 11527696 17291544 23055392 34583088 46110784 69166176 92221568 138332352 184443136 276664704 368886272 553329408 1106658816