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20225703991680 = 273651114092797
BaseRepresentation
bin1001001100101001010011…
…11001101101100110000000
32122121120002002100021000000
410212110221321231212000
510122334220210213210
6111003320554000000
74155154541215065
oct446245171554600
978546062307000
1020225703991680
116498744690670
122327a63416000
13b39377945635
144dcd01dbcc6c
152511b4bdcac0
hex126529e6d980

20225703991680 has 896 divisors, whose sum is σ = 79169820746400. Its totient is φ = 4897969274880.

The previous prime is 20225703991663. The next prime is 20225703991699. The reversal of 20225703991680 is 8619930752202.

20225703991680 is a `hidden beast` number, since 2 + 0 + 2 + 2 + 570 + 3 + 9 + 9 + 1 + 68 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 7231212042 + ... + 7231214838.

Almost surely, 220225703991680 is an apocalyptic number.

20225703991680 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 20225703991680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39584910373200).

20225703991680 is an abundant number, since it is smaller than the sum of its proper divisors (58944116754720).

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

20225703991680 is a wasteful number, since it uses less digits than its factorization.

20225703991680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4254 (or 4227 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 20225703991680 in words is "twenty trillion, two hundred twenty-five billion, seven hundred three million, nine hundred ninety-one thousand, six hundred eighty".