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2089352815920 = 2432519346144129
BaseRepresentation
bin11110011001110111001…
…000011110010100110000
321101201222120221012102200
4132121313020132110300
5233212443310102140
64235500241543200
7303644052623406
oct36316710362460
97351876835380
102089352815920
117360a92169a7
12298b20044b00
1312204327a296
14731a7841476
153953761b030
hex1e67721e530

2089352815920 has 240 divisors, whose sum is σ = 7388346981600. Its totient is φ = 527672033280.

The previous prime is 2089352815909. The next prime is 2089352815931. The reversal of 2089352815920 is 295182539802.

It is a happy number.

2089352815920 is a `hidden beast` number, since 2 + 0 + 8 + 93 + 528 + 1 + 5 + 9 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (2089352815909) and next prime (2089352815931).

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47324416 + ... + 47368544.

It is an arithmetic number, because the mean of its divisors is an integer number (30784779090).

Almost surely, 22089352815920 is an apocalyptic number.

2089352815920 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 2089352815920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3694173490800).

2089352815920 is an abundant number, since it is smaller than the sum of its proper divisors (5298994165680).

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

2089352815920 is a wasteful number, since it uses less digits than its factorization.

2089352815920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47628 (or 47619 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 2089352815920 in words is "two trillion, eighty-nine billion, three hundred fifty-two million, eight hundred fifteen thousand, nine hundred twenty".