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1005050016 = 25323489757
BaseRepresentation
bin111011111001111…
…101100010100000
32121001011211102200
4323321331202200
54024243100031
6243421413200
733622532655
oct7371754240
92531154380
101005050016
11476362a53
1224070a200
131302b7969
14976a3c2c
155d37c8e6
hex3be7d8a0

1005050016 has 36 divisors (see below), whose sum is σ = 2858111802. Its totient is φ = 335016576.

The previous prime is 1005050003. The next prime is 1005050041. The reversal of 1005050016 is 6100505001.

1005050016 is a `hidden beast` number, since 100 + 50 + 500 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 624800016 + 380250000 = 24996^2 + 19500^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 1744591 + ... + 1745166.

Almost surely, 21005050016 is an apocalyptic number.

1005050016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1005050016 is an abundant number, since it is smaller than the sum of its proper divisors (1853061786).

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

1005050016 is a wasteful number, since it uses less digits than its factorization.

1005050016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3489773 (or 3489762 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 1005050016 is about 31702.5238112047. The cubic root of 1005050016 is about 1001.6805129609.

Adding to 1005050016 its reverse (6100505001), we get a palindrome (7105555017).

The spelling of 1005050016 in words is "one billion, five million, fifty thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 3489757 6979514 10469271 13959028 20938542 27918056 31407813 41877084 55836112 62815626 83754168 111672224 125631252 167508336 251262504 335016672 502525008 1005050016