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19269823104 = 2733721953113
BaseRepresentation
bin10001111100100100…
…100010101010000000
31211201221120102212000
4101330210202222000
5303431033314404
612504043104000
71251344536200
oct217444425200
954657512760
1019269823104
118199349344
123899512000
131a81330bbc
14d0b334400
1577bad7339
hex47c922a80

19269823104 has 768 divisors, whose sum is σ = 71581968000. Its totient is φ = 5072191488.

The previous prime is 19269823093. The next prime is 19269823109. The reversal of 19269823104 is 40132896291.

It is a self number, because there is not a number n which added to its sum of digits gives 19269823104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19269823109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 170529352 + ... + 170529464.

Almost surely, 219269823104 is an apocalyptic number.

19269823104 is a gapful number since it is divisible by the number (14) 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 19269823104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35790984000).

19269823104 is an abundant number, since it is smaller than the sum of its proper divisors (52312144896).

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

19269823104 is a wasteful number, since it uses less digits than its factorization.

19269823104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 19269823104 in words is "nineteen billion, two hundred sixty-nine million, eight hundred twenty-three thousand, one hundred four".