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505005005484 = 2233737118115287
BaseRepresentation
bin1110101100101001010…
…01001101101010101100
31210021111200000100001000
413112110221031222230
531233222240133414
61023555053520300
751325331502150
oct7262451155254
91707450010030
10505005005484
11185198184171
1281a591a3090
133881103ca95
141a629c29060
15d20a227b09
hex7594a4daac

505005005484 has 192 divisors, whose sum is σ = 1538153809920. Its totient is φ = 140259444480.

The previous prime is 505005005429. The next prime is 505005005621. The reversal of 505005005484 is 484500500505.

505005005484 is a `hidden beast` number, since 50 + 50 + 0 + 500 + 54 + 8 + 4 = 666.

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

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, 33027289 + ... + 33042575.

It is an arithmetic number, because the mean of its divisors is an integer number (8011217760).

Almost surely, 2505005005484 is an apocalyptic number.

505005005484 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505005005484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769076904960).

505005005484 is an abundant number, since it is smaller than the sum of its proper divisors (1033148804436).

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

505005005484 is a wasteful number, since it uses less digits than its factorization.

505005005484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16525 (or 16517 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 36.

Adding to 505005005484 its reverse (484500500505), we get a palindrome (989505505989).

The spelling of 505005005484 in words is "five hundred five billion, five million, five thousand, four hundred eighty-four".