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2016010000000 = 27574492
BaseRepresentation
bin11101010101100011100…
…011110101011010000000
321010201200012111010012001
4131111203203311122000
5231012242030000000
64142050414513344
7265436415154633
oct35254343653200
97121605433161
102016010000000
11707a920a6847
12286871805854
1311815540c159
146d80aca5c1a
15376937eb46a
hex1d5638f5680

2016010000000 has 192 divisors, whose sum is σ = 5031530576280. Its totient is φ = 804608000000.

The previous prime is 2016009999979. The next prime is 2016010000033. The reversal of 2016010000000 is 106102.

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 12 ways, for example, as 2015877473856 + 132526144 = 1419816^2 + 11512^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4489999776 + ... + 4490000224.

Almost surely, 22016010000000 is an apocalyptic number.

2016010000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2016010000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2515765288140).

2016010000000 is an abundant number, since it is smaller than the sum of its proper divisors (3015520576280).

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

2016010000000 is an frugal number, since it uses more digits than its factorization.

2016010000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Multiplying 2016010000000 by its sum of digits (10), we get a square (20160100000000 = 44900002).

2016010000000 divided by its sum of digits (10) gives a square (201601000000 = 4490002).

Adding to 2016010000000 its reverse (106102), we get a palindrome (2016010106102).

The spelling of 2016010000000 in words is "two trillion, sixteen billion, ten million", and thus it is an aban number and an uban number.