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16008001000 = 235340012
BaseRepresentation
bin11101110100010011…
…01011010111101000
31112022121212201002221
432322021223113220
5230241022013000
611204243003424
71104456522565
oct167211532750
945277781087
1016008001000
1168751100a2
123129069574
131681627c54
14abc05586c
1563a57661a
hex3ba26b5e8

16008001000 has 48 divisors (see below), whose sum is σ = 37468087020. Its totient is φ = 6401600000.

The previous prime is 16008000997. The next prime is 16008001001. The reversal of 16008001000 is 10080061.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 2473470756 + 13534530244 = 49734^2 + 116338^2 .

It is not an unprimeable number, because it can be changed into a prime (16008001001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3999000 + ... + 4003000.

Almost surely, 216008001000 is an apocalyptic number.

16008001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16008001000 is an abundant number, since it is smaller than the sum of its proper divisors (21460086020).

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

16008001000 is an frugal number, since it uses more digits than its factorization.

16008001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8023 (or 4008 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 16008001000 its reverse (10080061), we get a palindrome (16018081061).

The spelling of 16008001000 in words is "sixteen billion, eight million, one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 4001 8002 16004 20005 32008 40010 80020 100025 160040 200050 400100 500125 800200 1000250 2000500 4001000 16008001 32016002 64032004 80040005 128064008 160080010 320160020 400200025 640320040 800400050 1600800100 2001000125 3201600200 4002000250 8004000500 16008001000