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20132872361856 = 27361578771567
BaseRepresentation
bin1001001001111100011001…
…01101001001011110000000
32122021200110111020212000000
410210332030231021132000
510114324110311034411
6110452525222000000
74145360226326022
oct444761455113600
978250414225000
1020132872361856
116462337649141
122311a76276000
13b306a22a0367
144d8616dc6012
1524da7ee79956
hex124f8cb49780

20132872361856 has 448 divisors, whose sum is σ = 60625872746880. Its totient is φ = 6656358518784.

The previous prime is 20132872361851. The next prime is 20132872361863. The reversal of 20132872361856 is 65816327823102.

20132872361856 is a `hidden beast` number, since 2 + 0 + 1 + 328 + 7 + 236 + 1 + 85 + 6 = 666.

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 (20132872361851) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 12848035185 + ... + 12848036751.

It is an arithmetic number, because the mean of its divisors is an integer number (135325608810).

Almost surely, 220132872361856 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 20132872361856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30312936373440).

20132872361856 is an abundant number, since it is smaller than the sum of its proper divisors (40493000385024).

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

20132872361856 is an equidigital number, since it uses as much as digits as its factorization.

20132872361856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2633 (or 2606 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 20132872361856 in words is "twenty trillion, one hundred thirty-two billion, eight hundred seventy-two million, three hundred sixty-one thousand, eight hundred fifty-six".