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1106966656 = 2729298213
BaseRepresentation
bin100000111111010…
…1111100010000000
32212010221201210001
41001332233202000
54231340413111
6301502045344
736301030015
oct10176574200
92763851701
101106966656
11518943484
1226a879854
1314844c973
14a703370c
15672b01c1
hex41faf880

1106966656 has 32 divisors (see below), whose sum is σ = 2281337100. Its totient is φ = 534395904.

The previous prime is 1106966621. The next prime is 1106966677. The reversal of 1106966656 is 6566696011.

It can be written as a sum of positive squares in 2 ways, for example, as 1011240000 + 95726656 = 31800^2 + 9784^2 .

It is a tau number, because it is divible by the number of its divisors (32).

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, 145395 + ... + 152818.

Almost surely, 21106966656 is an apocalyptic number.

1106966656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1106966656 is an abundant number, since it is smaller than the sum of its proper divisors (1174370444).

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

1106966656 is an equidigital number, since it uses as much as digits as its factorization.

1106966656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298256 (or 298244 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 46.

The square root of 1106966656 is about 33271.1084275832. The cubic root of 1106966656 is about 1034.4547856189.

The spelling of 1106966656 in words is "one billion, one hundred six million, nine hundred sixty-six thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 464 928 1856 3712 298213 596426 1192852 2385704 4771408 8648177 9542816 17296354 19085632 34592708 38171264 69185416 138370832 276741664 553483328 1106966656