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51442166005011 = 334359750991489
BaseRepresentation
bin10111011001001010100000…
…00001111111110100010011
320202010211012222221001102000
423230211100001333310103
523220312023444130021
6301224112123525043
713556400554253315
oct1354452001776423
9222124188831360
1051442166005011
1115433555685001
125929a05389783
132291c8b06a572
14c9bb57d2d7b5
155e31dea0ab26
hex2ec95007fd13

51442166005011 has 32 divisors (see below), whose sum is σ = 79304701344000. Its totient is φ = 32929474765824.

The previous prime is 51442166004991. The next prime is 51442166005019. The reversal of 51442166005011 is 11050066124415.

51442166005011 is a `hidden beast` number, since 5 + 1 + 4 + 42 + 1 + 6 + 600 + 5 + 0 + 1 + 1 = 666.

51442166005011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 51442166005011 - 215 = 51442165972243 is a prime.

It is a super-2 number, since 2×514421660050112 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (51442166005019) 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 31 ways as a sum of consecutive naturals, for example, 375427246 + ... + 375564243.

It is an arithmetic number, because the mean of its divisors is an integer number (2478271917000).

Almost surely, 251442166005011 is an apocalyptic number.

51442166005011 is a deficient number, since it is larger than the sum of its proper divisors (27862535338989).

51442166005011 is a wasteful number, since it uses less digits than its factorization.

51442166005011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750991600 (or 750991594 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 51442166005011 in words is "fifty-one trillion, four hundred forty-two billion, one hundred sixty-six million, five thousand, eleven".

Divisors: 1 3 9 27 43 59 129 177 387 531 1161 1593 2537 7611 22833 68499 750991489 2252974467 6758923401 20276770203 32292634027 44308497851 96877902081 132925493553 290633706243 398776480659 871901118729 1196329441977 1905265407593 5715796222779 17147388668337 51442166005011