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20130539520 = 2113571319379
BaseRepresentation
bin10010101111110111…
…111010100000000000
31220221221011100210210
4102233313322200000
5312211404231040
613125311154120
71311565522410
oct225767724000
956857140723
1020130539520
1185a018a323
123a99815940
131b8a751b60
14d8d786640
157cc454480
hex4afdfa800

20130539520 has 768 divisors, whose sum is σ = 83655936000. Its totient is φ = 4013162496.

The previous prime is 20130539503. The next prime is 20130539537. The reversal of 20130539520 is 2593503102.

It is an interprime number because it is at equal distance from previous prime (20130539503) and next prime (20130539537).

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53114691 + ... + 53115069.

It is an arithmetic number, because the mean of its divisors is an integer number (108927000).

Almost surely, 220130539520 is an apocalyptic number.

20130539520 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 20130539520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41827968000).

20130539520 is an abundant number, since it is smaller than the sum of its proper divisors (63525396480).

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

20130539520 is a wasteful number, since it uses less digits than its factorization.

20130539520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

The spelling of 20130539520 in words is "twenty billion, one hundred thirty million, five hundred thirty-nine thousand, five hundred twenty".