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19891435344 = 24311172612137
BaseRepresentation
bin10010100001100111…
…110011011101010000
31220100021020121112120
4102201213303131100
5311214201412334
613045450254240
71302633260604
oct224147633520
956307217476
1019891435344
118488218870
123a31727380
131b500559b1
14d69b05504
157b6473949
hex4a19f3750

19891435344 has 240 divisors, whose sum is σ = 60553701696. Its totient is φ = 5577523200.

The previous prime is 19891435303. The next prime is 19891435349. The reversal of 19891435344 is 44353419891.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19891435349) 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 47 ways as a sum of consecutive naturals, for example, 9307044 + ... + 9309180.

Almost surely, 219891435344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19891435344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30276850848).

19891435344 is an abundant number, since it is smaller than the sum of its proper divisors (40662266352).

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

19891435344 is a wasteful number, since it uses less digits than its factorization.

19891435344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2254 (or 2231 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 51.

The spelling of 19891435344 in words is "nineteen billion, eight hundred ninety-one million, four hundred thirty-five thousand, three hundred forty-four".