Search a number
-
+
505364535060 = 22357211115313553
BaseRepresentation
bin1110101101010100001…
…00101101011100010100
31210022102201112022220020
413112222010231130110
531234441310110220
61024054455505140
751340255446300
oct7265204553424
91708381468806
10505364535060
11185362118050
1281b396881b0
133886a681688
141a661896d00
15d22ba95040
hex75aa12d714

505364535060 has 288 divisors, whose sum is σ = 1797374904192. Its totient is φ = 104911994880.

The previous prime is 505364535043. The next prime is 505364535077. The reversal of 505364535060 is 60535463505.

It is an interprime number because it is at equal distance from previous prime (505364535043) and next prime (505364535077).

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 37281244 + ... + 37294796.

It is an arithmetic number, because the mean of its divisors is an integer number (6240885084).

Almost surely, 2505364535060 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 505364535060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898687452096).

505364535060 is an abundant number, since it is smaller than the sum of its proper divisors (1292010369132).

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

505364535060 is a wasteful number, since it uses less digits than its factorization.

505364535060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14743 (or 14734 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 42.

Adding to 505364535060 its reverse (60535463505), we get a palindrome (565899998565).

The spelling of 505364535060 in words is "five hundred five billion, three hundred sixty-four million, five hundred thirty-five thousand, sixty".