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20720903744 = 265329320849
BaseRepresentation
bin10011010011000011…
…111110011001000000
31222111002000222021102
4103103003332121000
5314414022404434
613304040513532
71332324530042
oct232303763100
958432028242
1020720903744
118873456742
12402347b8a8
131c52b558b8
141007d41a92
158141bc07e
hex4d30fe640

20720903744 has 56 divisors (see below), whose sum is σ = 42038854200. Its totient is φ = 10129793024.

The previous prime is 20720903743. The next prime is 20720903761. The reversal of 20720903744 is 44730902702.

It can be written as a sum of positive squares in 4 ways, for example, as 15346254400 + 5374649344 = 123880^2 + 73312^2 .

It is a super-2 number, since 2×207209037442 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20720903698 and 20720903707.

It is not an unprimeable number, because it can be changed into a prime (20720903743) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 983432 + ... + 1004280.

It is an arithmetic number, because the mean of its divisors is an integer number (750693825).

Almost surely, 220720903744 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 20720903744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21019427100).

20720903744 is an abundant number, since it is smaller than the sum of its proper divisors (21317950456).

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

20720903744 is a wasteful number, since it uses less digits than its factorization.

20720903744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21207 (or 21197 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 38.

The spelling of 20720903744 in words is "twenty billion, seven hundred twenty million, nine hundred three thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 32 53 64 106 212 293 424 586 848 1172 1696 2344 3392 4688 9376 15529 18752 20849 31058 41698 62116 83396 124232 166792 248464 333584 496928 667168 993856 1104997 1334336 2209994 4419988 6108757 8839976 12217514 17679952 24435028 35359904 48870056 70719808 97740112 195480224 323764121 390960448 647528242 1295056484 2590112968 5180225936 10360451872 20720903744