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47135816676 = 223313317105907
BaseRepresentation
bin101011111001100000…
…110111101111100100
311111122222100120202000
4223321200313233210
51233013232113201
633353124045300
73256032555024
oct537140675744
9144588316660
1047135816676
1118a98a377a3
129175833830
1345a255c6b0
1423d219da84
15135d1ccd86
hexaf9837be4

47135816676 has 96 divisors (see below), whose sum is σ = 132020676480. Its totient is φ = 14457439872.

The previous prime is 47135816671. The next prime is 47135816711. The reversal of 47135816676 is 67661853174.

47135816676 is a `hidden beast` number, since 47 + 13 + 581 + 6 + 6 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (47135816671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 392115 + ... + 498021.

It is an arithmetic number, because the mean of its divisors is an integer number (1375215380).

Almost surely, 247135816676 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 47135816676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66010338240).

47135816676 is an abundant number, since it is smaller than the sum of its proper divisors (84884859804).

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

47135816676 is a wasteful number, since it uses less digits than its factorization.

47135816676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106250 (or 106242 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 47135816676 in words is "forty-seven billion, one hundred thirty-five million, eight hundred sixteen thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 317 351 468 634 702 951 1268 1404 1902 2853 3804 4121 5706 8242 8559 11412 12363 16484 17118 24726 34236 37089 49452 74178 105907 111267 148356 211814 222534 317721 423628 445068 635442 953163 1270884 1376791 1906326 2753582 2859489 3812652 4130373 5507164 5718978 8260746 11437956 12391119 16521492 24782238 33572519 37173357 49564476 67145038 74346714 100717557 134290076 148693428 201435114 302152671 402870228 436442747 604305342 872885494 906458013 1208610684 1309328241 1745770988 1812916026 2618656482 3625832052 3927984723 5237312964 7855969446 11783954169 15711938892 23567908338 47135816676