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19806704640 = 2103252291877
BaseRepresentation
bin10010011100100100…
…100101010000000000
31220010100210211212100
4102130210211100000
5311031004022030
613033222230400
71300554132402
oct223444452000
956110724770
1019806704640
118444406398
123a09285400
131b3862a298
14d5c76ab72
157adcd8360
hex49c925400

19806704640 has 264 divisors, whose sum is σ = 68966132040. Its totient is φ = 5255921664.

The previous prime is 19806704597. The next prime is 19806704647. The reversal of 19806704640 is 4640760891.

It can be written as a sum of positive squares in 4 ways, for example, as 7169347584 + 12637357056 = 84672^2 + 112416^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19806704647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10551382 + ... + 10553258.

Almost surely, 219806704640 is an apocalyptic number.

19806704640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19806704640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34483066020).

19806704640 is an abundant number, since it is smaller than the sum of its proper divisors (49159427400).

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

19806704640 is a wasteful number, since it uses less digits than its factorization.

19806704640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2137 (or 2116 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 19806704640 in words is "nineteen billion, eight hundred six million, seven hundred four thousand, six hundred forty".