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505045304142540 = 223572996234308961
BaseRepresentation
bin111001011010101100000010…
…1111100101110101011001100
32110020012212012121102200000220
41302311120011330232223030
51012144130240330030130
64550050335411151340
7211244214310530210
oct16265300574565314
92406185177380026
10505045304142540
11136a17568759147
12487891b65a5550
13188a674c687595
148ca0474a02940
153d5c5c25d9410
hex1cb5605f2eacc

505045304142540 has 192 divisors, whose sum is σ = 1672048235612160. Its totient is φ = 111446665666560.

The previous prime is 505045304142523. The next prime is 505045304142553. The reversal of 505045304142540 is 45241403540505.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 505045304142492 and 505045304142501.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 115053660 + ... + 119362620.

It is an arithmetic number, because the mean of its divisors is an integer number (8708584560480).

Almost surely, 2505045304142540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505045304142540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836024117806080).

505045304142540 is an abundant number, since it is smaller than the sum of its proper divisors (1167002931469620).

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

505045304142540 is a wasteful number, since it uses less digits than its factorization.

505045304142540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4318632 (or 4318630 counting only the distinct ones).

The product of its (nonzero) digits is 960000, while the sum is 42.

The spelling of 505045304142540 in words is "five hundred five trillion, forty-five billion, three hundred four million, one hundred forty-two thousand, five hundred forty".