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19305979056 = 24327135924971
BaseRepresentation
bin10001111110101110…
…011101110010110000
31211211110121100111100
4101332232131302300
5304014312312211
612511414044400
71252264054140
oct217656356260
954743540440
1019305979056
1182077a38a1
1238a9649700
131a8897cb60
14d12066920
1577ed7a156
hex47eb9dcb0

19305979056 has 240 divisors, whose sum is σ = 67628171520. Its totient is φ = 5005186560.

The previous prime is 19305979019. The next prime is 19305979073. The reversal of 19305979056 is 65097950391.

19305979056 is a `hidden beast` number, since 19 + 30 + 597 + 9 + 0 + 5 + 6 = 666.

It is a super-2 number, since 2×193059790562 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 19305978993 and 19305979011.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 760651 + ... + 785621.

It is an arithmetic number, because the mean of its divisors is an integer number (281784048).

Almost surely, 219305979056 is an apocalyptic number.

19305979056 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 19305979056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33814085760).

19305979056 is an abundant number, since it is smaller than the sum of its proper divisors (48322192464).

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

19305979056 is a wasteful number, since it uses less digits than its factorization.

19305979056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25064 (or 25055 counting only the distinct ones).

The product of its (nonzero) digits is 2296350, while the sum is 54.

The spelling of 19305979056 in words is "nineteen billion, three hundred five million, nine hundred seventy-nine thousand, fifty-six".