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51663206034 = 232112333373323
BaseRepresentation
bin110000000111010111…
…011111011010010010
311221100111102210101100
4300013113133122102
51321301240043114
635422253445230
73506156001636
oct600727373222
9157314383340
1051663206034
111aa015953a0
12a019aa0816
134b44505acb
142701598dc6
1515258cb909
hexc075df692

51663206034 has 96 divisors (see below), whose sum is σ = 123038046144. Its totient is φ = 15537392640.

The previous prime is 51663205967. The next prime is 51663206039. The reversal of 51663206034 is 43060236615.

51663206034 is a `hidden beast` number, since 5 + 16 + 6 + 32 + 0 + 603 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 51663206034.

It is not an unprimeable number, because it can be changed into a prime (51663206039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15545497 + ... + 15548819.

It is an arithmetic number, because the mean of its divisors is an integer number (1281646314).

Almost surely, 251663206034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51663206034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61519023072).

51663206034 is an abundant number, since it is smaller than the sum of its proper divisors (71374840110).

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

51663206034 is a wasteful number, since it uses less digits than its factorization.

51663206034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3912 (or 3909 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 51663206034 in words is "fifty-one billion, six hundred sixty-three million, two hundred six thousand, thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 233 337 466 674 699 1011 1398 2022 2097 2563 3033 3323 3707 4194 5126 6066 6646 7414 7689 9969 11121 15378 19938 22242 23067 29907 33363 36553 46134 59814 66726 73106 78521 109659 157042 219318 235563 328977 471126 657954 706689 774259 863731 1119851 1413378 1548518 1727462 2239702 2322777 2591193 3359553 4645554 5182386 6719106 6968331 7773579 8516849 10078659 12318361 13936662 15547158 17033698 20157318 24636722 25550547 36955083 51101094 73910166 76651641 110865249 153303282 221730498 260925283 521850566 782775849 1565551698 2348327547 2870178113 4696655094 5740356226 8610534339 17221068678 25831603017 51663206034