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505505010060 = 22335936120389
BaseRepresentation
bin1110101101100100111…
…00100101000110001100
31210022210111212012101000
413112302130211012030
531240233240310220
61024120434420300
751343612455351
oct7266234450614
91708714765330
10505505010060
11185424443a96
1281b78731690
13388907c6c8b
141a6763c2628
15d239092390
hex75b272518c

505505010060 has 48 divisors (see below), whose sum is σ = 1572682255200. Its totient is φ = 134801335872.

The previous prime is 505505010041. The next prime is 505505010061. The reversal of 505505010060 is 60010505505.

505505010060 is a `hidden beast` number, since 5 + 0 + 550 + 5 + 0 + 100 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (505505010061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 468059655 + ... + 468060734.

It is an arithmetic number, because the mean of its divisors is an integer number (32764213650).

Almost surely, 2505505010060 is an apocalyptic number.

It is an amenable number.

505505010060 is an abundant number, since it is smaller than the sum of its proper divisors (1067177245140).

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

505505010060 is a wasteful number, since it uses less digits than its factorization.

505505010060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936120407 (or 936120399 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

Adding to 505505010060 its reverse (60010505505), we get a palindrome (565515515565).

The spelling of 505505010060 in words is "five hundred five billion, five hundred five million, ten thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 936120389 1872240778 2808361167 3744481556 4680601945 5616722334 8425083501 9361203890 11233444668 14041805835 16850167002 18722407780 25275250503 28083611670 33700334004 42125417505 50550501006 56167223340 84250835010 101101002012 126376252515 168501670020 252752505030 505505010060