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2208872371680 = 253551321272647
BaseRepresentation
bin100000001001001011000…
…011011001010111100000
321211011111010001201100000
4200021023003121113200
5242142232311343210
64410424132500000
7315404626240632
oct40111303312740
97734433051300
102208872371680
11781860961167
122b8116a7a600
131303aca68700
1478ca5042a52
153c6d031cac0
hex2024b0d95e0

2208872371680 has 864 divisors, whose sum is σ = 8534384861184. Its totient is φ = 539237357568.

The previous prime is 2208872371679. The next prime is 2208872371681. The reversal of 2208872371680 is 861732788022.

2208872371680 is a `hidden beast` number, since 2 + 208 + 8 + 7 + 2 + 371 + 68 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2208872371679) and next prime (2208872371681).

It is a tau number, because it is divible by the number of its divisors (864).

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 (2208872371681) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 834480117 + ... + 834482763.

It is an arithmetic number, because the mean of its divisors is an integer number (9877760256).

Almost surely, 22208872371680 is an apocalyptic number.

2208872371680 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 2208872371680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4267192430592).

2208872371680 is an abundant number, since it is smaller than the sum of its proper divisors (6325512489504).

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

2208872371680 is a wasteful number, since it uses less digits than its factorization.

2208872371680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2830 (or 2797 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 2208872371680 in words is "two trillion, two hundred eight billion, eight hundred seventy-two million, three hundred seventy-one thousand, six hundred eighty".