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2163041039808 = 26351117267653
BaseRepresentation
bin11111011110011111010…
…010101111010111000000
321122210012001022211100000
4133132133102233113000
5240414402001233213
64333404244200000
7312163113322365
oct37363722572700
97583161284300
102163041039808
11764382305190
122ab266099000
13128c8785441c
147699821046c
153b3eb918c73
hex1f79f4af5c0

2163041039808 has 1008 divisors, whose sum is σ = 7573757353344. Its totient is φ = 606771855360.

The previous prime is 2163041039779. The next prime is 2163041039813. The reversal of 2163041039808 is 8089301403612.

2163041039808 is a `hidden beast` number, since 2 + 1 + 630 + 4 + 1 + 0 + 3 + 9 + 8 + 0 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3312466810 + ... + 3312467462.

It is an arithmetic number, because the mean of its divisors is an integer number (7513648168).

Almost surely, 22163041039808 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 2163041039808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3786878676672).

2163041039808 is an abundant number, since it is smaller than the sum of its proper divisors (5410716313536).

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

2163041039808 is a wasteful number, since it uses less digits than its factorization.

2163041039808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 2163041039808 in words is "two trillion, one hundred sixty-three billion, forty-one million, thirty-nine thousand, eight hundred eight".