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2089883787264 = 2133373132163
BaseRepresentation
bin11110011010010110110…
…001111110000000000000
321101210100121001100012000
4132122112301332000000
5233220040222143024
64240025050304000
7303663161043000
oct36322661760000
97353317040160
102089883787264
11736350a07599
12299049a28000
131220c9287500
147321817a000
1539569050cc9
hex1e696c7e000

2089883787264 has 1344 divisors, whose sum is σ = 7866985536000. Its totient is φ = 547796680704.

The previous prime is 2089883787253. The next prime is 2089883787269. The reversal of 2089883787264 is 4627873889802.

2089883787264 is a `hidden beast` number, since 208 + 9 + 8 + 83 + 7 + 87 + 264 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×20898837872642 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 2089883787192 and 2089883787201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2089883787269) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12821372847 + ... + 12821373009.

Almost surely, 22089883787264 is an apocalyptic number.

2089883787264 is a gapful number since it is divisible by the number (24) 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 2089883787264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3933492768000).

2089883787264 is an abundant number, since it is smaller than the sum of its proper divisors (5777101748736).

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

2089883787264 is an equidigital number, since it uses as much as digits as its factorization.

2089883787264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 520224768, while the sum is 72.

The spelling of 2089883787264 in words is "two trillion, eighty-nine billion, eight hundred eighty-three million, seven hundred eighty-seven thousand, two hundred sixty-four".