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505055431848 = 233111091131271223
BaseRepresentation
bin1110101100101111010…
…01100100110010101000
31210021122011220021000010
413112113221210302220
531233323142304343
61024004054411520
751326513223612
oct7262751446250
91707564807003
10505055431848
11185213696250
1281a72060ba0
133881b617276
141a6327d3db2
15d20e888d33
hex7597a64ca8

505055431848 has 256 divisors, whose sum is σ = 1414560153600. Its totient is φ = 148995624960.

The previous prime is 505055431843. The next prime is 505055431871. The reversal of 505055431848 is 848134550505.

It is a junction number, because it is equal to n+sod(n) for n = 505055431797 and 505055431806.

It is not an unprimeable number, because it can be changed into a prime (505055431843) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 412963765 + ... + 412964987.

It is an arithmetic number, because the mean of its divisors is an integer number (5525625600).

Almost surely, 2505055431848 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 505055431848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707280076800).

505055431848 is an abundant number, since it is smaller than the sum of its proper divisors (909504721752).

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

505055431848 is a wasteful number, since it uses less digits than its factorization.

505055431848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1592 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 1920000, while the sum is 48.

The spelling of 505055431848 in words is "five hundred five billion, fifty-five million, four hundred thirty-one thousand, eight hundred forty-eight".