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505556050554 = 232371301583469
BaseRepresentation
bin1110101101101010111…
…11010010001001111010
31210022221001220022202200
413112311133102021322
531240334322104204
61024125500411030
751345102345432
oct7266537221172
91708831808680
10505556050554
11185450235515
1281b91846a76
133889b257b59
141a67d0ab2c2
15d23d7c5539
hex75b57d227a

505556050554 has 48 divisors (see below), whose sum is σ = 1125842707080. Its totient is φ = 163837814400.

The previous prime is 505556050541. The next prime is 505556050561. The reversal of 505556050554 is 455050655505.

It can be written as a sum of positive squares in 4 ways, for example, as 342523415025 + 163032635529 = 585255^2 + 403773^2 .

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, 574732 + ... + 1158200.

Almost surely, 2505556050554 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505556050554, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562921353540).

505556050554 is an abundant number, since it is smaller than the sum of its proper divisors (620286656526).

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

505556050554 is a wasteful number, since it uses less digits than its factorization.

505556050554 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584815 (or 584812 counting only the distinct ones).

The product of its (nonzero) digits is 1875000, while the sum is 45.

The spelling of 505556050554 in words is "five hundred five billion, five hundred fifty-six million, fifty thousand, five hundred fifty-four".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 1301 2602 3903 7806 11709 23418 48137 96274 144411 288822 433233 583469 866466 1166938 1750407 3500814 5251221 10502442 21588353 43176706 64765059 129530118 194295177 388590354 759093169 1518186338 2277279507 4554559014 6831838521 13663677042 28086447253 56172894506 84259341759 168518683518 252778025277 505556050554