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5163767136 = 2532111795881
BaseRepresentation
bin1001100111100100…
…01101010101100000
3111022212112112211200
410303302031111200
541033411022021
62212221241200
7241651203453
oct46362152540
914285475750
105163767136
11220a8a2750
121001403200
13643a6ac18
1436db3149a
15203505126
hex133c8d560

5163767136 has 144 divisors (see below), whose sum is σ = 16961909328. Its totient is φ = 1472716800.

The previous prime is 5163767129. The next prime is 5163767177. The reversal of 5163767136 is 6317673615.

5163767136 is a `hidden beast` number, since 5 + 1 + 637 + 6 + 7 + 1 + 3 + 6 = 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 = 5163767091 and 5163767100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5916 + ... + 101796.

It is an arithmetic number, because the mean of its divisors is an integer number (117791037).

Almost surely, 25163767136 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 5163767136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8480954664).

5163767136 is an abundant number, since it is smaller than the sum of its proper divisors (11798142192).

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

5163767136 is a wasteful number, since it uses less digits than its factorization.

5163767136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95925 (or 95914 counting only the distinct ones).

The product of its digits is 476280, while the sum is 45.

The square root of 5163767136 is about 71859.3566350270. The cubic root of 5163767136 is about 1728.4449407212. Note that the first 3 decimals are identical.

The spelling of 5163767136 in words is "five billion, one hundred sixty-three million, seven hundred sixty-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 17 18 22 24 32 33 34 36 44 48 51 66 68 72 88 96 99 102 132 136 144 153 176 187 198 204 264 272 288 306 352 374 396 408 528 544 561 612 748 792 816 1056 1122 1224 1496 1584 1632 1683 2244 2448 2992 3168 3366 4488 4896 5984 6732 8976 13464 17952 26928 53856 95881 191762 287643 383524 575286 767048 862929 1054691 1150572 1534096 1629977 1725858 2109382 2301144 3068192 3164073 3259954 3451716 4218764 4602288 4889931 6328146 6519908 6903432 8437528 9204576 9492219 9779862 12656292 13039816 13806864 14669793 16875056 17929747 18984438 19559724 25312584 26079632 27613728 29339586 33750112 35859494 37968876 39119448 50625168 52159264 53789241 58679172 71718988 75937752 78238896 101250336 107578482 117358344 143437976 151875504 156477792 161367723 215156964 234716688 286875952 303751008 322735446 430313928 469433376 573751904 645470892 860627856 1290941784 1721255712 2581883568 5163767136