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899106816 = 2113612399
BaseRepresentation
bin110101100101110…
…100100000000000
32022122211100200110
4311211310200000
53320132404231
6225114551320
731165165446
oct6545644000
92278740613
10899106816
11421582293
12211138540
13114372c8a
14875a6b96
1553e02046
hex35974800

899106816 has 96 divisors (see below), whose sum is σ = 2437344000. Its totient is φ = 294666240.

The previous prime is 899106811. The next prime is 899106881. The reversal of 899106816 is 618601998.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (899106811) 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, 373585 + ... + 375983.

It is an arithmetic number, because the mean of its divisors is an integer number (25389000).

Almost surely, 2899106816 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 899106816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218672000).

899106816 is an abundant number, since it is smaller than the sum of its proper divisors (1538237184).

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

899106816 is a wasteful number, since it uses less digits than its factorization.

899106816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2485 (or 2465 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 48.

The square root of 899106816 is about 29985.1099047511. The cubic root of 899106816 is about 965.1698864189.

The spelling of 899106816 in words is "eight hundred ninety-nine million, one hundred six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 128 183 192 244 256 366 384 488 512 732 768 976 1024 1464 1536 1952 2048 2399 2928 3072 3904 4798 5856 6144 7197 7808 9596 11712 14394 15616 19192 23424 28788 31232 38384 46848 57576 62464 76768 93696 115152 124928 146339 153536 187392 230304 292678 307072 374784 439017 460608 585356 614144 878034 921216 1170712 1228288 1756068 1842432 2341424 2456576 3512136 3684864 4682848 4913152 7024272 7369728 9365696 14048544 14739456 18731392 28097088 37462784 56194176 74925568 112388352 149851136 224776704 299702272 449553408 899106816