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16991002112 = 29743110251
BaseRepresentation
bin11111101001011111…
…00001111000000000
31121212010120100010112
433310233201320000
5234244144031422
611450000050452
71141024064210
oct176457417000
947763510115
1016991002112
117229a83407
123362303a28
1317aa192a06
14b7281a240
156969eaee2
hex3f4be1e00

16991002112 has 80 divisors (see below), whose sum is σ = 39701304192. Its totient is φ = 7112448000.

The previous prime is 16991002033. The next prime is 16991002117. The reversal of 16991002112 is 21120019961.

16991002112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16991002117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98987 + ... + 209237.

Almost surely, 216991002112 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 16991002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19850652096).

16991002112 is an abundant number, since it is smaller than the sum of its proper divisors (22710302080).

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

16991002112 is an equidigital number, since it uses as much as digits as its factorization.

16991002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110319 (or 110303 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 32.

The spelling of 16991002112 in words is "sixteen billion, nine hundred ninety-one million, two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 64 86 112 128 172 224 256 301 344 448 512 602 688 896 1204 1376 1792 2408 2752 3584 4816 5504 9632 11008 19264 22016 38528 77056 110251 154112 220502 441004 771757 882008 1543514 1764016 3087028 3528032 4740793 6174056 7056064 9481586 12348112 14112128 18963172 24696224 28224256 33185551 37926344 49392448 56448512 66371102 75852688 98784896 132742204 151705376 197569792 265484408 303410752 395139584 530968816 606821504 1061937632 1213643008 2123875264 2427286016 4247750528 8495501056 16991002112