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516155056101 = 32191173299993
BaseRepresentation
bin1111000001011010011…
…11010001111111100101
31211100021201210121000200
413200231033101333211
531424041143243401
61033041322101113
752201542405306
oct7405517217745
91740251717020
10516155056101
1118999a089233
128404b34a799
133989a083379
141ada69d87ad
15d65e056686
hex782d3d1fe5

516155056101 has 12 divisors (see below), whose sum is σ = 745563688428. Its totient is φ = 344100423744.

The previous prime is 516155056099. The next prime is 516155056121. The reversal of 516155056101 is 101650551615.

It is a happy number.

516155056101 is a `hidden beast` number, since 51 + 6 + 1 + 550 + 56 + 1 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 310918875201 + 205236180900 = 557601^2 + 453030^2 .

It is not a de Polignac number, because 516155056101 - 21 = 516155056099 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516155056121) by changing a digit.

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, 1570561 + ... + 1870553.

It is an arithmetic number, because the mean of its divisors is an integer number (62130307369).

Almost surely, 2516155056101 is an apocalyptic number.

It is an amenable number.

516155056101 is a deficient number, since it is larger than the sum of its proper divisors (229408632327).

516155056101 is a wasteful number, since it uses less digits than its factorization.

516155056101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491172 (or 491169 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 36.

The spelling of 516155056101 in words is "five hundred sixteen billion, one hundred fifty-five million, fifty-six thousand, one hundred one".

Divisors: 1 3 9 191173 299993 573519 899979 1720557 2699937 57350561789 172051685367 516155056101