Search a number
-
+
511352535132 = 2232412579134333
BaseRepresentation
bin1110111000011101111…
…11000111100001011100
31210212220001000020202200
413130032333013201130
531334222222111012
61030525003251500
751641535555405
oct7341677074134
91725801006680
10511352535132
111879551a213a
128312ab19b90
13392b310849a
141aa6cc609ac
15d47c60c3dc
hex770efc785c

511352535132 has 72 divisors (see below), whose sum is σ = 1324635333840. Its totient is φ = 166227790080.

The previous prime is 511352535007. The next prime is 511352535143. The reversal of 511352535132 is 231535253115.

511352535132 is a `hidden beast` number, since 5 + 1 + 135 + 2 + 5 + 3 + 513 + 2 = 666.

It is a super-2 number, since 2×5113525351322 (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3739438 + ... + 3873770.

It is an arithmetic number, because the mean of its divisors is an integer number (18397712970).

Almost surely, 2511352535132 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 511352535132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662317666920).

511352535132 is an abundant number, since it is smaller than the sum of its proper divisors (813282798708).

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

511352535132 is a wasteful number, since it uses less digits than its factorization.

511352535132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136963 (or 136958 counting only the distinct ones).

The product of its digits is 67500, while the sum is 36.

Adding to 511352535132 its reverse (231535253115), we get a palindrome (742887788247).

The spelling of 511352535132 in words is "five hundred eleven billion, three hundred fifty-two million, five hundred thirty-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 2579 5158 7737 10316 15474 23211 30948 46422 92844 105739 134333 211478 268666 317217 402999 422956 537332 634434 805998 951651 1208997 1268868 1611996 1903302 2417994 3806604 4835988 5507653 11015306 16522959 22030612 33045918 49568877 66091836 99137754 198275508 346444807 692889614 1039334421 1385779228 2078668842 3118003263 4157337684 6236006526 12472013052 14204237087 28408474174 42612711261 56816948348 85225422522 127838133783 170450845044 255676267566 511352535132