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51001322432 = 26191271312521
BaseRepresentation
bin101111011111111010…
…100110101111000000
311212122100222121202212
4233133322212233000
51313422314304212
635232451201252
73453601042064
oct573772465700
9155570877685
1051001322432
111a6a1a0a455
129a742a6228
134a6a350ac8
14267b703aa4
1514d7737e22
hexbdfea6bc0

51001322432 has 112 divisors (see below), whose sum is σ = 108233748480. Its totient is φ = 23775897600.

The previous prime is 51001322417. The next prime is 51001322443. The reversal of 51001322432 is 23422310015.

It is a super-2 number, since 2×510013224322 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 51001322398 and 51001322407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20229332 + ... + 20231852.

Almost surely, 251001322432 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 51001322432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54116874240).

51001322432 is an abundant number, since it is smaller than the sum of its proper divisors (57232426048).

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

51001322432 is a wasteful number, since it uses less digits than its factorization.

51001322432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2810 (or 2800 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 51001322432 its reverse (23422310015), we get a palindrome (74423632447).

The spelling of 51001322432 in words is "fifty-one billion, one million, three hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 19 32 38 64 76 127 131 152 254 262 304 508 524 608 1016 1048 1216 2032 2096 2413 2489 2521 4064 4192 4826 4978 5042 8128 8384 9652 9956 10084 16637 19304 19912 20168 33274 38608 39824 40336 47899 66548 77216 79648 80672 95798 133096 154432 159296 161344 191596 266192 316103 320167 330251 383192 532384 632206 640334 660502 766384 1064768 1264412 1280668 1321004 1532768 2528824 2561336 2642008 3065536 5057648 5122672 5284016 6083173 6274769 10115296 10245344 10568032 12166346 12549538 20230592 20490688 21136064 24332692 25099076 41941877 48665384 50198152 83883754 97330768 100396304 167767508 194661536 200792608 335535016 389323072 401585216 671070032 796895663 1342140064 1593791326 2684280128 3187582652 6375165304 12750330608 25500661216 51001322432