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5083171776 = 263261714303
BaseRepresentation
bin1001011101111101…
…10000101111000000
3111010020212212210100
410232332300233000
540402242444101
62200222002400
7236652150534
oct45676605700
914106785710
105083171776
112179355211
12b9a416400
1363015c867
14363151bc4
151eb3d4e86
hex12efb0bc0

5083171776 has 84 divisors (see below), whose sum is σ = 14594628672. Its totient is φ = 1691526144.

The previous prime is 5083171763. The next prime is 5083171817. The reversal of 5083171776 is 6771713805.

5083171776 is a `hidden beast` number, since 508 + 3 + 1 + 71 + 7 + 76 = 666.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 348241 + ... + 362543.

Almost surely, 25083171776 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 5083171776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7297314336).

5083171776 is an abundant number, since it is smaller than the sum of its proper divisors (9511456896).

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

5083171776 is a wasteful number, since it uses less digits than its factorization.

5083171776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14938 (or 14925 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The square root of 5083171776 is about 71296.3657979844. The cubic root of 5083171776 is about 1719.4053036896.

The spelling of 5083171776 in words is "five billion, eighty-three million, one hundred seventy-one thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 617 1234 1851 2468 3702 4936 5553 7404 9872 11106 14303 14808 19744 22212 28606 29616 39488 42909 44424 57212 59232 85818 88848 114424 118464 128727 171636 177696 228848 257454 343272 355392 457696 514908 686544 915392 1029816 1373088 2059632 2746176 4119264 8238528 8824951 17649902 26474853 35299804 52949706 70599608 79424559 105899412 141199216 158849118 211798824 282398432 317698236 423597648 564796864 635396472 847195296 1270792944 1694390592 2541585888 5083171776