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51928116384 = 2534130894271
BaseRepresentation
bin110000010111001010…
…000010110010100000
311222000221220122001210
4300113022002302200
51322322044211014
635504435430120
73515553464214
oct602712026240
9158027818053
1051928116384
1120028082471
12a092755340
134b873690b1
142728836944
15153dca8859
hexc17282ca0

51928116384 has 96 divisors (see below), whose sum is σ = 139713880320. Its totient is φ = 16877772800.

The previous prime is 51928116379. The next prime is 51928116397. The reversal of 51928116384 is 48361182915.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×519281163843 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12156169 + ... + 12160439.

It is an arithmetic number, because the mean of its divisors is an integer number (1455352920).

Almost surely, 251928116384 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 51928116384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69856940160).

51928116384 is an abundant number, since it is smaller than the sum of its proper divisors (87785763936).

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

51928116384 is a wasteful number, since it uses less digits than its factorization.

51928116384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7414 (or 7406 counting only the distinct ones).

The product of its digits is 414720, while the sum is 48.

The spelling of 51928116384 in words is "fifty-one billion, nine hundred twenty-eight million, one hundred sixteen thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1312 1968 3089 3936 4271 6178 8542 9267 12356 12813 17084 18534 24712 25626 34168 37068 49424 51252 68336 74136 98848 102504 126649 136672 148272 175111 205008 253298 296544 350222 379947 410016 506596 525333 700444 759894 1013192 1050666 1400888 1519788 2026384 2101332 2801776 3039576 4052768 4202664 5603552 6079152 8405328 12158304 13193119 16810656 26386238 39579357 52772476 79158714 105544952 158317428 211089904 316634856 422179808 540917879 633269712 1081835758 1266539424 1622753637 2163671516 3245507274 4327343032 6491014548 8654686064 12982029096 17309372128 25964058192 51928116384