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505104313054032 = 243231113150607763
BaseRepresentation
bin111001011011000111100001…
…1001001110111001101010000
32110020102111112001002221221100
41302312033003021313031100
51012201112113120212112
64550133415033024400
7211251403514151066
oct16266170311671520
92406374461087840
10505104313054032
11136a3a59974979a
1248798724555100
13188ac1949a7863
148ca32719c8036
153d5ddc7d1b2dc
hex1cb63c3277350

505104313054032 has 60 divisors (see below), whose sum is σ = 1459190237724544. Its totient is φ = 162936875177280.

The previous prime is 505104313054013. The next prime is 505104313054039. The reversal of 505104313054032 is 230450313401505.

505104313054032 is a `hidden beast` number, since 5 + 0 + 5 + 10 + 43 + 1 + 30 + 540 + 32 = 666.

It is a super-2 number, since 2×5051043130540322 (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505104313054039) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56575299418 + ... + 56575308345.

Almost surely, 2505104313054032 is an apocalyptic number.

It is an amenable number.

505104313054032 is an abundant number, since it is smaller than the sum of its proper divisors (954085924670512).

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

505104313054032 is a wasteful number, since it uses less digits than its factorization.

505104313054032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113150607808 (or 113150607799 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 505104313054032 its reverse (230450313401505), we get a palindrome (735554626455537).

The spelling of 505104313054032 in words is "five hundred five trillion, one hundred four billion, three hundred thirteen million, fifty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1488 2232 4464 113150607763 226301215526 339451823289 452602431052 678903646578 905204862104 1018355469867 1357807293156 1810409724208 2036710939734 2715614586312 3507668840653 4073421879468 5431229172624 7015337681306 8146843758936 10523006521959 14030675362612 16293687517872 21046013043918 28061350725224 31569019565877 42092026087836 56122701450448 63138039131754 84184052175672 126276078263508 168368104351344 252552156527016 505104313054032