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20204500520 = 2356118734421
BaseRepresentation
bin10010110100010010…
…000011011000101000
31221011002022222020002
4102310102003120220
5312334323004040
613140512322132
71313454264221
oct226422033050
957132288202
1020204500520
118628a06316
123aba543348
131b9cb79569
14d9951a248
157d3bb3a15
hex4b4483628

20204500520 has 64 divisors (see below), whose sum is σ = 46240500240. Its totient is φ = 7943270400.

The previous prime is 20204500507. The next prime is 20204500549. The reversal of 20204500520 is 2500540202.

It can be written as a sum of positive squares in 8 ways, for example, as 1565151844 + 18639348676 = 39562^2 + 136526^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 20204500492 and 20204500501.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4567910 + ... + 4572330.

Almost surely, 220204500520 is an apocalyptic number.

20204500520 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 20204500520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23120250120).

20204500520 is an abundant number, since it is smaller than the sum of its proper divisors (26035999720).

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

20204500520 is a wasteful number, since it uses less digits than its factorization.

20204500520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6366 (or 6362 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The spelling of 20204500520 in words is "twenty billion, two hundred four million, five hundred thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 488 610 1220 1873 2440 3746 4421 7492 8842 9365 14984 17684 18730 22105 35368 37460 44210 74920 88420 114253 176840 228506 269681 457012 539362 571265 914024 1078724 1142530 1348405 2157448 2285060 2696810 4570120 5393620 8280533 10787240 16561066 33122132 41402665 66244264 82805330 165610660 331221320 505112513 1010225026 2020450052 2525562565 4040900104 5051125130 10102250260 20204500520