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9916354112 = 26738357793
BaseRepresentation
bin10010011110000111…
…11000111001000000
3221121002100222112112
421033003320321000
5130302041312422
64315553514452
7500510422250
oct111703707100
927532328475
109916354112
114229583685
121b08b72a28
13c20581772
146a0dcb960
153d0888ee2
hex24f0f8e40

9916354112 has 56 divisors (see below), whose sum is σ = 22547982336. Its totient is φ = 4238696448.

The previous prime is 9916354111. The next prime is 9916354171. The reversal of 9916354112 is 2114536199.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-3 number, since 3×99163541123 (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 9916354112.

It is not an unprimeable number, because it can be changed into a prime (9916354111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 142688 + ... + 200480.

Almost surely, 29916354112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9916354112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11273991168).

9916354112 is an abundant number, since it is smaller than the sum of its proper divisors (12631628224).

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

9916354112 is a wasteful number, since it uses less digits than its factorization.

9916354112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58195 (or 58185 counting only the distinct ones).

The product of its digits is 58320, while the sum is 41.

The square root of 9916354112 is about 99580.8923036945. The cubic root of 9916354112 is about 2148.4108763467.

The spelling of 9916354112 in words is "nine billion, nine hundred sixteen million, three hundred fifty-four thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 383 448 766 1532 2681 3064 5362 6128 10724 12256 21448 24512 42896 57793 85792 115586 171584 231172 404551 462344 809102 924688 1618204 1849376 3236408 3698752 6472816 12945632 22134719 25891264 44269438 88538876 154943033 177077752 309886066 354155504 619772132 708311008 1239544264 1416622016 2479088528 4958177056 9916354112