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19330280640 = 2631151131
BaseRepresentation
bin10010000000001011…
…001010110011000000
31211220011100000000000
4102000023022303000
5304042022440030
612514043000000
71253010450216
oct220013126300
954804300000
1019330280640
11821a491a50
1238b5809000
131a90a0b1a8
14d15390cb6
1578207a860
hex4802cacc0

19330280640 has 672 divisors, whose sum is σ = 77751797760. Its totient is φ = 4534963200.

The previous prime is 19330280639. The next prime is 19330280653. The reversal of 19330280640 is 4608203391.

19330280640 is a `hidden beast` number, since 1 + 9 + 3 + 3 + 0 + 2 + 8 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 19330280595 and 19330280604.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 623557425 + ... + 623557455.

It is an arithmetic number, because the mean of its divisors is an integer number (115702080).

Almost surely, 219330280640 is an apocalyptic number.

19330280640 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 19330280640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38875898880).

19330280640 is an abundant number, since it is smaller than the sum of its proper divisors (58421517120).

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

19330280640 is an frugal number, since it uses more digits than its factorization.

19330280640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 19330280640 in words is "nineteen billion, three hundred thirty million, two hundred eighty thousand, six hundred forty".