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19520590752 = 2532135213833
BaseRepresentation
bin10010001011100001…
…001001001110100000
31212101102102202101200
4102023201021032200
5304434232401002
612545002001200
71260511166205
oct221341111640
955342382350
1019520590752
118307956833
1239494a6200
131ac1281b20
14d3276dcac
15793b1db1c
hex48b8493a0

19520590752 has 72 divisors (see below), whose sum is σ = 59781820644. Its totient is φ = 6006334464.

The previous prime is 19520590741. The next prime is 19520590763. The reversal of 19520590752 is 25709502591.

19520590752 is a `hidden beast` number, since 1 + 9 + 5 + 2 + 0 + 590 + 7 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (19520590741) and next prime (19520590763).

It can be written as a sum of positive squares in 2 ways, for example, as 13708663056 + 5811927696 = 117084^2 + 76236^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 19520590698 and 19520590707.

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 11 ways as a sum of consecutive naturals, for example, 2603173 + ... + 2610660.

Almost surely, 219520590752 is an apocalyptic number.

19520590752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

19520590752 is an abundant number, since it is smaller than the sum of its proper divisors (40261229892).

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

19520590752 is a wasteful number, since it uses less digits than its factorization.

19520590752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5213862 (or 5213851 counting only the distinct ones).

The product of its (nonzero) digits is 283500, while the sum is 45.

The spelling of 19520590752 in words is "nineteen billion, five hundred twenty million, five hundred ninety thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 5213833 10427666 15641499 20855332 31282998 41710664 46924497 62565996 67779829 83421328 93848994 125131992 135559658 166842656 187697988 203339487 250263984 271119316 375395976 406678974 500527968 542238632 610018461 750791952 813357948 1084477264 1220036922 1501583904 1626715896 2168954528 2440073844 3253431792 4880147688 6506863584 9760295376 19520590752