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1116710016 = 27313721227
BaseRepresentation
bin100001010001111…
…1010010010000000
32212211021202011020
41002203322102000
54241334210031
6302450545440
736446610222
oct10243722200
92784252136
101116710016
11523398844
12271b98280
1314a481776
14a844c412
1568087096
hex428fa480

1116710016 has 64 divisors (see below), whose sum is σ = 2988053280. Its totient is φ = 369502208.

The previous prime is 1116710011. The next prime is 1116710029. The reversal of 1116710016 is 6100176111.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1116710011) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 41995 + ... + 63221.

Almost surely, 21116710016 is an apocalyptic number.

1116710016 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 1116710016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494026640).

1116710016 is an abundant number, since it is smaller than the sum of its proper divisors (1871343264).

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

1116710016 is a wasteful number, since it uses less digits than its factorization.

1116710016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21381 (or 21369 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 24.

The square root of 1116710016 is about 33417.2113737816. The cubic root of 1116710016 is about 1037.4809645900.

Adding to 1116710016 its reverse (6100176111), we get a palindrome (7216886127).

The spelling of 1116710016 in words is "one billion, one hundred sixteen million, seven hundred ten thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 137 192 274 384 411 548 822 1096 1644 2192 3288 4384 6576 8768 13152 17536 21227 26304 42454 52608 63681 84908 127362 169816 254724 339632 509448 679264 1018896 1358528 2037792 2717056 2908099 4075584 5816198 8151168 8724297 11632396 17448594 23264792 34897188 46529584 69794376 93059168 139588752 186118336 279177504 372236672 558355008 1116710016