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24100005200 = 2452181332873
BaseRepresentation
bin10110011100011110…
…001110010101010000
32022012120102010001012
4112130132032111100
5343324100131300
615023230430052
71512135443555
oct263436162520
968176363035
1024100005200
11a247908677
124807062328
132370c4230b
141248a2ca2c
15960b97435
hex59c78e550

24100005200 has 60 divisors (see below), whose sum is σ = 58220328348. Its totient is φ = 9586713600.

The previous prime is 24100005173. The next prime is 24100005271. The reversal of 24100005200 is 250000142.

It can be written as a sum of positive squares in 6 ways, for example, as 13048949824 + 11051055376 = 114232^2 + 105124^2 .

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 94037 + ... + 238836.

Almost surely, 224100005200 is an apocalyptic number.

24100005200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24100005200 is an abundant number, since it is smaller than the sum of its proper divisors (34120323148).

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

24100005200 is a wasteful number, since it uses less digits than its factorization.

24100005200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333072 (or 333061 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

Adding to 24100005200 its reverse (250000142), we get a palindrome (24350005342).

The spelling of 24100005200 in words is "twenty-four billion, one hundred million, five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 181 200 362 400 724 905 1448 1810 2896 3620 4525 7240 9050 14480 18100 36200 72400 332873 665746 1331492 1664365 2662984 3328730 5325968 6657460 8321825 13314920 16643650 26629840 33287300 60250013 66574600 120500026 133149200 241000052 301250065 482000104 602500130 964000208 1205000260 1506250325 2410000520 3012500650 4820001040 6025001300 12050002600 24100005200