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51200051240 = 235131716973413
BaseRepresentation
bin101111101011110000…
…101100100000101000
311220011012221002110002
4233223300230200220
51314324203114430
635304310442132
73461533153262
oct575360544050
9156135832402
1051200051240
111a794104338
129b0a963348
134a9c581610
142699c74b32
1514e9de0845
hexbebc2c828

51200051240 has 128 divisors (see below), whose sum is σ = 131475324960. Its totient is φ = 17776902144.

The previous prime is 51200051239. The next prime is 51200051297. The reversal of 51200051240 is 4215000215.

It can be written as a sum of positive squares in 16 ways, for example, as 28502218276 + 22697832964 = 168826^2 + 150658^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14999774 + ... + 15003186.

Almost surely, 251200051240 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 51200051240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65737662480).

51200051240 is an abundant number, since it is smaller than the sum of its proper divisors (80275273720).

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

51200051240 is a wasteful number, since it uses less digits than its factorization.

51200051240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5151 (or 5147 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

Adding to 51200051240 its reverse (4215000215), we get a palindrome (55415051455).

The spelling of 51200051240 in words is "fifty-one billion, two hundred million, fifty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 65 68 85 104 130 136 170 221 260 340 442 520 680 884 1105 1697 1768 2210 3394 3413 4420 6788 6826 8485 8840 13576 13652 16970 17065 22061 27304 28849 33940 34130 44122 44369 57698 58021 67880 68260 88244 88738 110305 115396 116042 136520 144245 176488 177476 220610 221845 230792 232084 288490 290105 354952 375037 441220 443690 464168 576980 580210 750074 754273 882440 887380 1153960 1160420 1500148 1508546 1774760 1875185 2320840 3000296 3017092 3750370 3771365 5791861 6034184 7500740 7542730 11583722 15001480 15085460 23167444 28959305 30170920 46334888 57918610 75294193 98461637 115837220 150588386 196923274 231674440 301176772 376470965 393846548 492308185 602353544 752941930 787693096 984616370 1280001281 1505883860 1969232740 2560002562 3011767720 3938465480 5120005124 6400006405 10240010248 12800012810 25600025620 51200051240