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51710890752 = 283353141157
BaseRepresentation
bin110000001010001101…
…011001001100000000
311221110211011102112000
4300022031121030000
51321400442001002
635431115504000
73510305214303
oct601215311400
9157424142460
1051710890752
111aa264a4654
12a031a58000
134b51360411
142707a4cb3a
151529b9a61c
hexc0a359300

51710890752 has 144 divisors (see below), whose sum is σ = 155804554080. Its totient is φ = 16911618048.

The previous prime is 51710890747. The next prime is 51710890813. The reversal of 51710890752 is 25709801715.

51710890752 is a `hidden beast` number, since 517 + 1 + 0 + 89 + 0 + 7 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 51710890698 and 51710890707.

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, 295758 + ... + 436914.

It is an arithmetic number, because the mean of its divisors is an integer number (1081976070).

Almost surely, 251710890752 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 51710890752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77902277040).

51710890752 is an abundant number, since it is smaller than the sum of its proper divisors (104093663328).

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

51710890752 is a wasteful number, since it uses less digits than its factorization.

51710890752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141235 (or 141215 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 45.

The spelling of 51710890752 in words is "fifty-one billion, seven hundred ten million, eight hundred ninety thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 64 72 96 106 108 128 144 159 192 212 216 256 288 318 384 424 432 477 576 636 768 848 864 954 1152 1272 1431 1696 1728 1908 2304 2544 2862 3392 3456 3816 5088 5724 6784 6912 7632 10176 11448 13568 15264 20352 22896 30528 40704 45792 61056 91584 122112 141157 183168 282314 366336 423471 564628 846942 1129256 1270413 1693884 2258512 2540826 3387768 3811239 4517024 5081652 6775536 7481321 7622478 9034048 10163304 13551072 14962642 15244956 18068096 20326608 22443963 27102144 29925284 30489912 36136192 40653216 44887926 54204288 59850568 60979824 67331889 81306432 89775852 108408576 119701136 121959648 134663778 162612864 179551704 201995667 239402272 243919296 269327556 325225728 359103408 403991334 478804544 487838592 538655112 718206816 807982668 957609088 975677184 1077310224 1436413632 1615965336 1915218176 2154620448 2872827264 3231930672 4309240896 5745654528 6463861344 8618481792 12927722688 17236963584 25855445376 51710890752