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19520594352 = 2435717311361
BaseRepresentation
bin10010001011100001…
…001010000110110000
31212101102102221100000
4102023201022012300
5304434233004402
612545002030000
71260511212540
oct221341120660
955342387300
1019520594352
118307959506
1239494a8300
131ac128365c
14d32771320
15793b1ec1c
hex48b84a1b0

19520594352 has 480 divisors, whose sum is σ = 70819467264. Its totient is φ = 5076172800.

The previous prime is 19520594341. The next prime is 19520594371. The reversal of 19520594352 is 25349502591.

19520594352 is a `hidden beast` number, since 1 + 9 + 5 + 2 + 0 + 594 + 3 + 52 = 666.

It is a super-3 number, since 3×195205943523 (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 19520594298 and 19520594307.

It is an unprimeable number.

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, 14342152 + ... + 14343512.

Almost surely, 219520594352 is an apocalyptic number.

19520594352 is a gapful number since it is divisible by the number (12) 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 19520594352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35409733632).

19520594352 is an abundant number, since it is smaller than the sum of its proper divisors (51298872912).

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

19520594352 is a wasteful number, since it uses less digits than its factorization.

19520594352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1439 (or 1421 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The spelling of 19520594352 in words is "nineteen billion, five hundred twenty million, five hundred ninety-four thousand, three hundred fifty-two".