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20040471596544 = 293721915192809
BaseRepresentation
bin1001000111010000010010…
…01100001100111000000000
32121221211221220220121222220
410203220021030030320000
510111320341212042134
6110342244320531040
74135606365640500
oct443501114147000
977854856817886
1020040471596544
116427130842593
1222b7b89480a80
13b24a67c84cb9
144d3d6d309a00
1524b472e75149
hex123a0930ce00

20040471596544 has 480 divisors, whose sum is σ = 65808021945600. Its totient is φ = 5388506726400.

The previous prime is 20040471596543. The next prime is 20040471596591. The reversal of 20040471596544 is 44569517404002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20040471596543) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 215886012 + ... + 215978820.

It is an arithmetic number, because the mean of its divisors is an integer number (137100045720).

Almost surely, 220040471596544 is an apocalyptic number.

20040471596544 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 20040471596544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32904010972800).

20040471596544 is an abundant number, since it is smaller than the sum of its proper divisors (45767550349056).

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

20040471596544 is a wasteful number, since it uses less digits than its factorization.

20040471596544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93014 (or 92991 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 51.

The spelling of 20040471596544 in words is "twenty trillion, forty billion, four hundred seventy-one million, five hundred ninety-six thousand, five hundred forty-four".