Search a number
-
+
511731002052 = 22341579416673
BaseRepresentation
bin1110111001001011000…
…10110110101011000100
31210220212102011100210000
413130211202312223010
531341011114031202
61031030323201300
751654112514454
oct7344542665304
91726772140700
10511731002052
1118802989aa16
1283215816230
133934364a8ca
141aaa721bd64
15d4a096a91c
hex77258b6ac4

511731002052 has 30 divisors (see below), whose sum is σ = 1337765922878. Its totient is φ = 170577000576.

The previous prime is 511731001961. The next prime is 511731002053. The reversal of 511731002052 is 250200137115.

511731002052 is a `hidden beast` number, since 511 + 73 + 10 + 0 + 20 + 52 = 666.

It can be written as a sum of positive squares in only one way, i.e., 342814934016 + 168916068036 = 585504^2 + 410994^2 .

It is a super-2 number, since 2×5117310020522 (a number of 24 digits) contains 22 as substring.

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 (511731002053) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 789708013 + ... + 789708660.

Almost surely, 2511731002052 is an apocalyptic number.

It is an amenable number.

511731002052 is an abundant number, since it is smaller than the sum of its proper divisors (826034920826).

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

511731002052 is a wasteful number, since it uses less digits than its factorization.

511731002052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1579416689 (or 1579416678 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

Adding to 511731002052 its reverse (250200137115), we get a palindrome (761931139167).

The spelling of 511731002052 in words is "five hundred eleven billion, seven hundred thirty-one million, two thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 1579416673 3158833346 4738250019 6317666692 9476500038 14214750057 18953000076 28429500114 42644250171 56859000228 85288500342 127932750513 170577000684 255865501026 511731002052