Search a number
-
+
2086871971392 = 263313457203279
BaseRepresentation
bin11110010111100011010…
…000110011011001000000
321101111120200210020112000
4132113203100303121000
5233142403211041032
64234410140504000
7303525430035465
oct36274320633100
97344520706460
102086871971392
1173504590676a
1229854924b000
13121a392c6a40
147301017966c
153943e925e7c
hex1e5e3433640

2086871971392 has 224 divisors, whose sum is σ = 6621431308800. Its totient is φ = 640706236416.

The previous prime is 2086871971381. The next prime is 2086871971397. The reversal of 2086871971392 is 2931791786802.

2086871971392 is a `hidden beast` number, since 2 + 0 + 86 + 87 + 1 + 97 + 1 + 392 = 666.

It is not an unprimeable number, because it can be changed into a prime (2086871971397) 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 31 ways as a sum of consecutive naturals, for example, 10164409 + ... + 10367687.

It is an arithmetic number, because the mean of its divisors is an integer number (29559961200).

Almost surely, 22086871971392 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 2086871971392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3310715654400).

2086871971392 is an abundant number, since it is smaller than the sum of its proper divisors (4534559337408).

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

2086871971392 is a wasteful number, since it uses less digits than its factorization.

2086871971392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203770 (or 203754 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 2086871971392 in words is "two trillion, eighty-six billion, eight hundred seventy-one million, nine hundred seventy-one thousand, three hundred ninety-two".