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20057869928544 = 25372103383108089
BaseRepresentation
bin1001000111110000101100…
…01101100100100001100000
32122000111212102221110200120
410203320112031210201200
510112112004200203134
6110354242551320240
74140063500215500
oct443702615444140
978014772843616
1020057869928544
116433549737968
1222bb424080080
13b265ab6546c6
144d4b3dc77a00
1524bb405d1649
hex123e16364860

20057869928544 has 288 divisors, whose sum is σ = 62004823695360. Its totient is φ = 5660310878208.

The previous prime is 20057869928363. The next prime is 20057869928563. The reversal of 20057869928544 is 44582996875002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 185514052 + ... + 185622140.

It is an arithmetic number, because the mean of its divisors is an integer number (215294526720).

Almost surely, 220057869928544 is an apocalyptic number.

20057869928544 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 20057869928544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31002411847680).

20057869928544 is an abundant number, since it is smaller than the sum of its proper divisors (41946953766816).

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

20057869928544 is a wasteful number, since it uses less digits than its factorization.

20057869928544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108602 (or 108587 counting only the distinct ones).

The product of its (nonzero) digits is 348364800, while the sum is 69.

The spelling of 20057869928544 in words is "twenty trillion, fifty-seven billion, eight hundred sixty-nine million, nine hundred twenty-eight thousand, five hundred forty-four".