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20050013520 = 24325174139953
BaseRepresentation
bin10010101011000100…
…101110110101010000
31220202022122012220100
4102223010232311100
5312030300413040
613113313212400
71306600205625
oct225304566520
956668565810
1020050013520
118559789a09
123a76861100
131b76b69234
14d82bc434c
157c5349b30
hex4ab12ed50

20050013520 has 240 divisors, whose sum is σ = 73036231632. Its totient is φ = 4909301760.

The previous prime is 20050013513. The next prime is 20050013521. The reversal of 20050013520 is 2531005002.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 114832656 + 19935180864 = 10716^2 + 141192^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20050013493 and 20050013502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20050013521) 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, 481864 + ... + 521816.

Almost surely, 220050013520 is an apocalyptic number.

20050013520 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 20050013520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36518115816).

20050013520 is an abundant number, since it is smaller than the sum of its proper divisors (52986218112).

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

20050013520 is a wasteful number, since it uses less digits than its factorization.

20050013520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40030 (or 40021 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

Adding to 20050013520 its reverse (2531005002), we get a palindrome (22581018522).

The spelling of 20050013520 in words is "twenty billion, fifty million, thirteen thousand, five hundred twenty".