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51891017616 = 24324124632
BaseRepresentation
bin110000010100111100…
…100001011110010000
311221221101002211010100
4300110330201132100
51322233100030431
635501032332400
73514623241434
oct602474413620
9157841084110
1051891017616
1120009143629
12a082244100
134b7c779c69
14272393a9c4
15153a8cb4e6
hexc14f21790

51891017616 has 135 divisors (see below), whose sum is σ = 149173375377. Its totient is φ = 16838680320.

The previous prime is 51891017611. The next prime is 51891017627. The reversal of 51891017616 is 61671019815.

The square root of 51891017616 is 227796.

It is a perfect power (a square), and thus also a powerful number.

51891017616 is a `hidden beast` number, since 5 + 1 + 8 + 9 + 10 + 17 + 616 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2500400016 + 49390617600 = 50004^2 + 222240^2 .

It is not an unprimeable number, because it can be changed into a prime (51891017611) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 112075401 + ... + 112075863.

Almost surely, 251891017616 is an apocalyptic number.

51891017616 is the 227796-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51891017616

51891017616 is an abundant number, since it is smaller than the sum of its proper divisors (97282357761).

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

51891017616 is an equidigital number, since it uses as much as digits as its factorization.

51891017616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 45.

The spelling of 51891017616 in words is "fifty-one billion, eight hundred ninety-one million, seventeen thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 328 369 463 492 656 738 926 984 1389 1476 1681 1852 1968 2778 2952 3362 3704 4167 5043 5556 5904 6724 7408 8334 10086 11112 13448 15129 16668 18983 20172 22224 26896 30258 33336 37966 40344 56949 60516 66672 75932 80688 113898 121032 151864 170847 214369 227796 242064 303728 341694 428738 455592 643107 683388 778303 857476 911184 1286214 1366776 1556606 1714952 1929321 2334909 2572428 2733552 3113212 3429904 3858642 4669818 5144856 6226424 7004727 7717284 8789129 9339636 10289712 12452848 14009454 15434568 17578258 18679272 26367387 28018908 30869136 35156516 37358544 52734774 56037816 70313032 79102161 105469548 112075632 140626064 158204322 210939096 316408644 360354289 421878192 632817288 720708578 1081062867 1265634576 1441417156 2162125734 2882834312 3243188601 4324251468 5765668624 6486377202 8648502936 12972754404 17297005872 25945508808 51891017616