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116566016 = 211747173
BaseRepresentation
bin1101111001010…
…10100000000000
322010100011111212
412330222200000
5214320103031
615322225252
72613536420
oct674524000
9263304455
10116566016
115a886856
1233055228
131b1c3b98
14116a4480
15a37812b
hex6f2a800

116566016 has 96 divisors (see below), whose sum is σ = 273611520. Its totient is φ = 48611328.

The previous prime is 116565989. The next prime is 116566031. The reversal of 116566016 is 610665611.

It is a super-2 number, since 2×1165660162 = 27175272172224512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 673706 + ... + 673878.

It is an arithmetic number, because the mean of its divisors is an integer number (2850120).

Almost surely, 2116566016 is an apocalyptic number.

116566016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116566016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136805760).

116566016 is an abundant number, since it is smaller than the sum of its proper divisors (157045504).

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

116566016 is an equidigital number, since it uses as much as digits as its factorization.

116566016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 116566016 is about 10796.5742714993. The cubic root of 116566016 is about 488.4918448820.

The spelling of 116566016 in words is "one hundred sixteen million, five hundred sixty-six thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 64 94 112 128 173 188 224 256 329 346 376 448 512 658 692 752 896 1024 1211 1316 1384 1504 1792 2048 2422 2632 2768 3008 3584 4844 5264 5536 6016 7168 8131 9688 10528 11072 12032 14336 16262 19376 21056 22144 24064 32524 38752 42112 44288 48128 56917 65048 77504 84224 88576 96256 113834 130096 155008 168448 177152 227668 260192 310016 336896 354304 455336 520384 620032 673792 910672 1040768 1240064 1821344 2081536 2480128 3642688 4163072 7285376 8326144 14570752 16652288 29141504 58283008 116566016