Search a number
-
+
511061006052 = 2232141591002623
BaseRepresentation
bin1110110111111011001…
…11000001011011100100
31210212010201110001001100
413123331213001123210
531333123104143202
61030440031000100
751631365606402
oct7337547013344
91725121401040
10511061006052
11187815684013
1283069369030
13392678b527c
141aa42254472
15d461c2341c
hex76fd9c16e4

511061006052 has 36 divisors (see below), whose sum is σ = 1291941181440. Its totient is φ = 170341467312.

The previous prime is 511061006039. The next prime is 511061006063. The reversal of 511061006052 is 250600160115.

It is a happy number.

511061006052 is a `hidden beast` number, since 51 + 1 + 0 + 6 + 1 + 0 + 0 + 605 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×5110610060522 (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 (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8413 + ... + 1011035.

It is an arithmetic number, because the mean of its divisors is an integer number (35887255040).

Almost surely, 2511061006052 is an apocalyptic number.

It is an amenable number.

511061006052 is an abundant number, since it is smaller than the sum of its proper divisors (780880175388).

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

511061006052 is a wasteful number, since it uses less digits than its factorization.

511061006052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016792 (or 1016787 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Adding to 511061006052 its reverse (250600160115), we get a palindrome (761661166167).

The spelling of 511061006052 in words is "five hundred eleven billion, sixty-one million, six thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 14159 28318 42477 56636 84954 127431 169908 254862 509724 1002623 2005246 3007869 4010492 6015738 9023607 12031476 18047214 36094428 14196139057 28392278114 42588417171 56784556228 85176834342 127765251513 170353668684 255530503026 511061006052