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51144215025124 = 2213171929105000811
BaseRepresentation
bin10111010000011111100001…
…10001001101010111100100
320201002100011021121000211201
423220033300301031113210
523200421323021300444
6300435154504212244
713526022216566344
oct1350176061152744
9221070137530751
1051144215025124
111532915a066961
1258a011216a084
13226cb568ba3c0
14c8b570da6d24
155da5a2193dd4
hex2e83f0c4d5e4

51144215025124 has 96 divisors (see below), whose sum is σ = 111132859420800. Its totient is φ = 20321436764160.

The previous prime is 51144215025091. The next prime is 51144215025131. The reversal of 51144215025124 is 42152051244115.

It is a happy number.

51144215025124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×511442150251242 (a number of 28 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 31 ways as a sum of consecutive naturals, for example, 52013322 + ... + 52987489.

It is an arithmetic number, because the mean of its divisors is an integer number (1157633952300).

Almost surely, 251144215025124 is an apocalyptic number.

It is an amenable number.

51144215025124 is an abundant number, since it is smaller than the sum of its proper divisors (59988644395676).

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

51144215025124 is a wasteful number, since it uses less digits than its factorization.

51144215025124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105000893 (or 105000891 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 37.

Adding to 51144215025124 its reverse (42152051244115), we get a palindrome (93296266269239).

The spelling of 51144215025124 in words is "fifty-one trillion, one hundred forty-four billion, two hundred fifteen million, twenty-five thousand, one hundred twenty-four".

Divisors: 1 2 4 13 17 19 26 29 34 38 52 58 68 76 116 221 247 323 377 442 493 494 551 646 754 884 986 988 1102 1292 1508 1972 2204 4199 6409 7163 8398 9367 12818 14326 16796 18734 25636 28652 37468 121771 243542 487084 105000811 210001622 420003244 1365010543 1785013787 1995015409 2730021086 3045023519 3570027574 3990030818 5460042172 6090047038 7140055148 7980061636 12180094076 23205179231 25935200317 33915261953 39585305747 46410358462 51765399823 51870400634 57855446861 67830523906 79170611494 92820716924 103530799646 103740801268 115710893722 135661047812 158341222988 207061599292 231421787444 440898405389 672950197699 752120809193 881796810778 983542596637 1345900395398 1504241618386 1763593621556 1967085193274 2691800790796 3008483236772 3934170386548 12786053756281 25572107512562 51144215025124