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19200910900 = 2252414683149
BaseRepresentation
bin10001111000011101…
…101010011000110100
31211120010220100002011
4101320131222120310
5303310413122100
612453142054004
71246550023033
oct217035523064
954503810064
1019200910900
118163460606
12387a41a304
131a6cc83552
14d0211671a
15775a23bba
hex47876a634

19200910900 has 36 divisors (see below), whose sum is σ = 42682229100. Its totient is φ = 7493036800.

The previous prime is 19200910829. The next prime is 19200910901. The reversal of 19200910900 is 901900291.

It can be written as a sum of positive squares in 6 ways, for example, as 1551256996 + 17649653904 = 39386^2 + 132852^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19200910901) by changing a digit.

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, 2337475 + ... + 2345674.

It is an arithmetic number, because the mean of its divisors is an integer number (1185617475).

Almost surely, 219200910900 is an apocalyptic number.

19200910900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19200910900 is an abundant number, since it is smaller than the sum of its proper divisors (23481318200).

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

19200910900 is a wasteful number, since it uses less digits than its factorization.

19200910900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4683204 (or 4683197 counting only the distinct ones).

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

The spelling of 19200910900 in words is "nineteen billion, two hundred million, nine hundred ten thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 2050 4100 4683149 9366298 18732596 23415745 46831490 93662980 117078725 192009109 234157450 384018218 468314900 768036436 960045545 1920091090 3840182180 4800227725 9600455450 19200910900