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2093081573088 = 253511231063921
BaseRepresentation
bin11110011101010101011…
…000100011011011100000
321102002121110020200200000
4132131111120203123200
5233243112340314323
64241314242100000
7304135340551512
oct36352530433340
97362543220600
102093081573088
11737741a883a0
122997a094a600
131224b892c27c
147343cb49bb2
15396a4b62e43
hex1e7556236e0

2093081573088 has 288 divisors, whose sum is σ = 7026583479552. Its totient is φ = 606689740800.

The previous prime is 2093081573081. The next prime is 2093081573117. The reversal of 2093081573088 is 8803751803902.

2093081573088 is a `hidden beast` number, since 20 + 9 + 308 + 1 + 5 + 7 + 308 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2093081573081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1435368 + ... + 2499288.

It is an arithmetic number, because the mean of its divisors is an integer number (24397859304).

Almost surely, 22093081573088 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 2093081573088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3513291739776).

2093081573088 is an abundant number, since it is smaller than the sum of its proper divisors (4933501906464).

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

2093081573088 is a wasteful number, since it uses less digits than its factorization.

2093081573088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063980 (or 1063960 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 2093081573088 in words is "two trillion, ninety-three billion, eighty-one million, five hundred seventy-three thousand, eighty-eight".