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20001550400 = 265213961613
BaseRepresentation
bin10010101000001011…
…110111000001000000
31220121221110000222222
4102220023313001000
5311430344103100
613104422350212
71305441242006
oct225013670100
956557400888
1020001550400
118534398947
123a6258b368
131b69acb530
14d7a5aaa76
157c0e75485
hex4a82f7040

20001550400 has 84 divisors (see below), whose sum is σ = 53002240452. Its totient is φ = 7385180160.

The previous prime is 20001550333. The next prime is 20001550403. The reversal of 20001550400 is 405510002.

It can be written as a sum of positive squares in 6 ways, for example, as 95726656 + 19905823744 = 9784^2 + 141088^2 .

It is not an unprimeable number, because it can be changed into a prime (20001550403) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 460007 + ... + 501606.

It is an arithmetic number, because the mean of its divisors is an integer number (630979053).

Almost surely, 220001550400 is an apocalyptic number.

20001550400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20001550400 is an abundant number, since it is smaller than the sum of its proper divisors (33000690052).

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

20001550400 is a wasteful number, since it uses less digits than its factorization.

20001550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961648 (or 961633 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The spelling of 20001550400 in words is "twenty billion, one million, five hundred fifty thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 130 160 200 208 260 320 325 400 416 520 650 800 832 1040 1300 1600 2080 2600 4160 5200 10400 20800 961613 1923226 3846452 4808065 7692904 9616130 12500969 15385808 19232260 24040325 25001938 30771616 38464520 48080650 50003876 61543232 62504845 76929040 96161300 100007752 125009690 153858080 192322600 200015504 250019380 307716160 312524225 384645200 400031008 500038760 625048450 769290400 800062016 1000077520 1250096900 1538580800 2000155040 2500193800 4000310080 5000387600 10000775200 20001550400