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2097361820736 = 263272135716253
BaseRepresentation
bin11110100001010100100…
…000011001110001000000
321102111122202021210121200
4132201110200121301000
5233330344111230421
64243303102421200
7304346403216600
oct36412440316100
97374582253550
102097361820736
11739539084846
1229a596291800
13122a1b623ca0
14737273b0c00
15398557e4726
hex1e854819c40

2097361820736 has 252 divisors, whose sum is σ = 7531153212492. Its totient is φ = 553150273536.

The previous prime is 2097361820713. The next prime is 2097361820747. The reversal of 2097361820736 is 6370281637902.

2097361820736 is a `hidden beast` number, since 209 + 7 + 361 + 8 + 2 + 0 + 73 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 324735860736 + 1772625960000 = 569856^2 + 1331400^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2491215 + ... + 3225038.

It is an arithmetic number, because the mean of its divisors is an integer number (29885528621).

Almost surely, 22097361820736 is an apocalyptic number.

2097361820736 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2097361820736 is an abundant number, since it is smaller than the sum of its proper divisors (5433791391756).

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

2097361820736 is a wasteful number, since it uses less digits than its factorization.

2097361820736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5716298 (or 5716278 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 2097361820736 in words is "two trillion, ninety-seven billion, three hundred sixty-one million, eight hundred twenty thousand, seven hundred thirty-six".