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505033751340 = 2232519971404979
BaseRepresentation
bin1110101100101100101…
…10110111101100101100
31210021120200002202221100
413112112112313230230
531233302120020330
61024002002003100
751326131025256
oct7262626675454
91707520082840
10505033751340
11185202428378
1281a66946490
1338816c95c71
141a62d98ccd6
15d20ca05060
hex75965b7b2c

505033751340 has 72 divisors (see below), whose sum is σ = 1532703921840. Its totient is φ = 134608132224.

The previous prime is 505033751281. The next prime is 505033751351. The reversal of 505033751340 is 43157330505.

505033751340 is a `hidden beast` number, since 50 + 50 + 3 + 3 + 7 + 513 + 40 = 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 = 505033751295 and 505033751304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 343030 + ... + 1061949.

It is an arithmetic number, because the mean of its divisors is an integer number (21287554470).

Almost surely, 2505033751340 is an apocalyptic number.

It is an amenable number.

505033751340 is an abundant number, since it is smaller than the sum of its proper divisors (1027670170500).

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

505033751340 is a wasteful number, since it uses less digits than its factorization.

505033751340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1406991 (or 1406986 counting only the distinct ones).

The product of its (nonzero) digits is 94500, while the sum is 36.

The spelling of 505033751340 in words is "five hundred five billion, thirty-three million, seven hundred fifty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1997 3994 5991 7988 9985 11982 17973 19970 23964 29955 35946 39940 59910 71892 89865 119820 179730 359460 1404979 2809958 4214937 5619916 7024895 8429874 12644811 14049790 16859748 21074685 25289622 28099580 42149370 50579244 63224055 84298740 126448110 252896220 2805743063 5611486126 8417229189 11222972252 14028715315 16834458378 25251687567 28057430630 33668916756 42086145945 50503375134 56114861260 84172291890 101006750268 126258437835 168344583780 252516875670 505033751340