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19804932900 = 22325246912
BaseRepresentation
bin10010011100011101…
…110100101100100100
31220010020110211111100
4102130131310230210
5311030030323100
613033120240100
71300533103104
oct223435645444
956106424440
1019804932900
118443406245
123a08770030
131b38159a0c
14d5c429204
157ada88400
hex49c774b24

19804932900 has 81 divisors (see below), whose sum is σ = 62090698033. Its totient is φ = 5280189600.

The previous prime is 19804932883. The next prime is 19804932941. The reversal of 19804932900 is 923940891.

The square root of 19804932900 is 140730.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7129775844 + 12675157056 = 84438^2 + 112584^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian 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 26 ways as a sum of consecutive naturals, for example, 4219555 + ... + 4224245.

Almost surely, 219804932900 is an apocalyptic number.

19804932900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

19804932900 is the 140730-th square number.

It is an amenable number.

19804932900 is an abundant number, since it is smaller than the sum of its proper divisors (42285765133).

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

19804932900 is an equidigital number, since it uses as much as digits as its factorization.

19804932900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9402 (or 4701 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 19804932900 in words is "nineteen billion, eight hundred four million, nine hundred thirty-two thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 4691 9382 14073 18764 23455 28146 42219 46910 56292 70365 84438 93820 117275 140730 168876 211095 234550 281460 351825 422190 469100 703650 844380 1055475 1407300 2110950 4221900 22005481 44010962 66016443 88021924 110027405 132032886 198049329 220054810 264065772 330082215 396098658 440109620 550137025 660164430 792197316 990246645 1100274050 1320328860 1650411075 1980493290 2200548100 3300822150 3960986580 4951233225 6601644300 9902466450 19804932900