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19830999936 = 27311172989107
BaseRepresentation
bin10010011110000001…
…010000101110000000
31220012001112011202010
4102132001100232000
5311103213444221
613035451052520
71301300501226
oct223601205600
956161464663
1019830999936
11845709a850
123a15441140
131b406857b7
14d61a92b16
157b0ed6c76
hex49e050b80

19830999936 has 512 divisors, whose sum is σ = 64245312000. Its totient is φ = 5349048320.

The previous prime is 19830999931. The next prime is 19830999967. The reversal of 19830999936 is 63999903891.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19830999931) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 185336395 + ... + 185336501.

It is an arithmetic number, because the mean of its divisors is an integer number (125479125).

Almost surely, 219830999936 is an apocalyptic number.

19830999936 is a gapful number since it is divisible by the number (16) 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 19830999936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32122656000).

19830999936 is an abundant number, since it is smaller than the sum of its proper divisors (44414312064).

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

19830999936 is a wasteful number, since it uses less digits than its factorization.

19830999936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 25509168, while the sum is 66.

The spelling of 19830999936 in words is "nineteen billion, eight hundred thirty million, nine hundred ninety-nine thousand, nine hundred thirty-six".