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20218473896544 = 253272111171111227
BaseRepresentation
bin1001001100011011110101…
…11101000101101001100000
32122120212102012122101000200
410212031322331011221200
510122224413304142134
6111000123315545200
74154510426345400
oct446157275055140
978525365571020
1020218473896544
116495674469130
122326585bbb200
13b38794a79031
144dc817a88800
15250de00c2499
hex12637af45a60

20218473896544 has 432 divisors, whose sum is σ = 73026711366336. Its totient is φ = 5247019814400.

The previous prime is 20218473896473. The next prime is 20218473896549. The reversal of 20218473896544 is 44569837481202.

20218473896544 is a `hidden beast` number, since 2 + 0 + 2 + 1 + 8 + 4 + 7 + 3 + 89 + 6 + 544 = 666.

It is a super-2 number, since 2×202184738965442 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20218473896549) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 181721059 + ... + 181832285.

It is an arithmetic number, because the mean of its divisors is an integer number (169043313348).

It is a 1-persistent number, because it is pandigital, but 2⋅20218473896544 = 40436947793088 is not.

Almost surely, 220218473896544 is an apocalyptic number.

20218473896544 is a gapful number since it is divisible by the number (24) 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 20218473896544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36513355683168).

20218473896544 is an abundant number, since it is smaller than the sum of its proper divisors (52808237469792).

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

20218473896544 is a wasteful number, since it uses less digits than its factorization.

20218473896544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112439 (or 112421 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 20218473896544 in words is "twenty trillion, two hundred eighteen billion, four hundred seventy-three million, eight hundred ninety-six thousand, five hundred forty-four".