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19909210000 = 2454172832
BaseRepresentation
bin10010100010101011…
…100110111110010000
31220101111200122210011
4102202223212332100
5311233224210000
613051323244304
71303240331011
oct224253467620
956344618704
1019909210000
118497259169
123a37679694
131b5393a244
14d6c211008
157b7cd52ba
hex4a2ae6f90

19909210000 has 225 divisors, whose sum is σ = 51828754021. Its totient is φ = 7404928000.

The previous prime is 19909209989. The next prime is 19909210019. The reversal of 19909210000 is 1290991.

The square root of 19909210000 is 141100.

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

It can be written as a sum of positive squares in 7 ways, for example, as 9722748816 + 10186461184 = 98604^2 + 100928^2 .

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 44 ways as a sum of consecutive naturals, for example, 239869959 + ... + 239870041.

Almost surely, 219909210000 is an apocalyptic number.

19909210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

19909210000 is the 141100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19909210000

19909210000 is an abundant number, since it is smaller than the sum of its proper divisors (31919544021).

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

19909210000 is an frugal number, since it uses more digits than its factorization.

19909210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 31.

The spelling of 19909210000 in words is "nineteen billion, nine hundred nine million, two hundred ten thousand".