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899110016 = 277320479
BaseRepresentation
bin110101100101110…
…101010010000000
32022122211112001222
4311211311102000
53320133010031
6225115014212
731165211000
oct6545652200
92278745058
10899110016
11421584732
1221113a368
1311437457c
14875a8000
1553e02e7b
hex35975480

899110016 has 64 divisors (see below), whose sum is σ = 2088960000. Its totient is φ = 385314048.

The previous prime is 899110013. The next prime is 899110057. The reversal of 899110016 is 610011998.

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

It is not an unprimeable number, because it can be changed into a prime (899110013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33665 + ... + 54143.

It is an arithmetic number, because the mean of its divisors is an integer number (32640000).

Almost surely, 2899110016 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 899110016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044480000).

899110016 is an abundant number, since it is smaller than the sum of its proper divisors (1189849984).

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

899110016 is an equidigital number, since it uses as much as digits as its factorization.

899110016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20514 (or 20488 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 35.

The square root of 899110016 is about 29985.1632645213. The cubic root of 899110016 is about 965.1710314590.

The spelling of 899110016 in words is "eight hundred ninety-nine million, one hundred ten thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 343 392 448 686 784 896 1372 1568 2744 3136 5488 6272 10976 20479 21952 40958 43904 81916 143353 163832 286706 327664 573412 655328 1003471 1146824 1310656 2006942 2293648 2621312 4013884 4587296 7024297 8027768 9174592 14048594 16055536 18349184 28097188 32111072 56194376 64222144 112388752 128444288 224777504 449555008 899110016