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51710016736 = 2572318911953
BaseRepresentation
bin110000001010001010…
…000011110011100000
311221110202112000121001
4300022022003303200
51321400231013421
635431045041344
73510264614200
oct601212036340
9157422460531
1051710016736
111aa25a57a24
12a0316b6254
134b51115651
1427078a2400
151529a76691
hexc0a283ce0

51710016736 has 144 divisors (see below), whose sum is σ = 123629224320. Its totient is φ = 21203804160.

The previous prime is 51710016719. The next prime is 51710016737. The reversal of 51710016736 is 63761001715.

It is a junction number, because it is equal to n+sod(n) for n = 51710016695 and 51710016704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51710016737) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4320136 + ... + 4332088.

It is an arithmetic number, because the mean of its divisors is an integer number (858536280).

Almost surely, 251710016736 is an apocalyptic number.

51710016736 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51710016736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61814612160).

51710016736 is an abundant number, since it is smaller than the sum of its proper divisors (71919207584).

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

51710016736 is a wasteful number, since it uses less digits than its factorization.

51710016736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12097 (or 12082 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 37.

The spelling of 51710016736 in words is "fifty-one billion, seven hundred ten million, sixteen thousand, seven hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 49 56 62 89 98 112 124 178 196 217 224 248 356 392 434 496 623 712 784 868 992 1246 1424 1519 1568 1736 2492 2759 2848 3038 3472 4361 4984 5518 6076 6944 8722 9968 11036 11953 12152 17444 19313 19936 22072 23906 24304 34888 38626 44144 47812 48608 69776 77252 83671 88288 95624 135191 139552 154504 167342 191248 270382 309008 334684 370543 382496 540764 585697 618016 669368 741086 1063817 1081528 1171394 1338736 1482172 2127634 2163056 2342788 2593801 2677472 2964344 4255268 4326112 4685576 5187602 5928688 7446719 8510536 9371152 10375204 11857376 14893438 17021072 18156607 18742304 20750408 29786876 32978327 34042144 36313214 41500816 52127033 59573752 65956654 72626428 83001632 104254066 119147504 131913308 145252856 208508132 230848289 238295008 263826616 290505712 417016264 461696578 527653232 581011424 834032528 923393156 1055306464 1615938023 1668065056 1846786312 3231876046 3693572624 6463752092 7387145248 12927504184 25855008368 51710016736