Search a number
-
+
500535200105 = 51714939521137
BaseRepresentation
bin1110100100010100011…
…10010000100101101001
31202211222011021200202122
413102022032100211221
531200044002400410
61021535342241025
751106505000453
oct7221216204551
91684864250678
10500535200105
11183304087236
1281010286175
133827aca8a25
141a32433d2d3
15d047b00e55
hex748a390969

500535200105 has 16 divisors (see below), whose sum is σ = 640242435600. Its totient is φ = 374344200192.

The previous prime is 500535200093. The next prime is 500535200117. The reversal of 500535200105 is 501002535005.

It is an interprime number because it is at equal distance from previous prime (500535200093) and next prime (500535200117).

It can be written as a sum of positive squares in 8 ways, for example, as 52337085529 + 448198114576 = 228773^2 + 669476^2 .

It is a cyclic number.

It is not a de Polignac number, because 500535200105 - 26 = 500535200041 is a prime.

It is a super-2 number, since 2×5005352001052 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19747904 + ... + 19773233.

It is an arithmetic number, because the mean of its divisors is an integer number (40015152225).

Almost surely, 2500535200105 is an apocalyptic number.

It is an amenable number.

500535200105 is a deficient number, since it is larger than the sum of its proper divisors (139707235495).

500535200105 is a wasteful number, since it uses less digits than its factorization.

500535200105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39521308.

The product of its (nonzero) digits is 3750, while the sum is 26.

The spelling of 500535200105 in words is "five hundred billion, five hundred thirty-five million, two hundred thousand, one hundred five".

Divisors: 1 5 17 85 149 745 2533 12665 39521137 197605685 671859329 3359296645 5888649413 29443247065 100107040021 500535200105