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48876195771 = 3313261891973
BaseRepresentation
bin101101100001001111…
…111000111110111011
311200011021012000001000
4231201033320332323
51300044301231041
634241534300043
73350124544404
oct554117707673
9150137160030
1048876195771
111980137a327
129580657623
1347bbca6200
1425193969ab
151410daabb6
hexb613f8fbb

48876195771 has 96 divisors (see below), whose sum is σ = 80629214400. Its totient is φ = 29237345280.

The previous prime is 48876195757. The next prime is 48876195791. The reversal of 48876195771 is 17759167884.

48876195771 is a `hidden beast` number, since 4 + 8 + 8 + 7 + 619 + 5 + 7 + 7 + 1 = 666.

It is not a de Polignac number, because 48876195771 - 210 = 48876194747 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 48876195699 and 48876195708.

It is not an unprimeable number, because it can be changed into a prime (48876195721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24771541 + ... + 24773513.

It is an arithmetic number, because the mean of its divisors is an integer number (839887650).

Almost surely, 248876195771 is an apocalyptic number.

48876195771 is a deficient number, since it is larger than the sum of its proper divisors (31753018629).

48876195771 is a wasteful number, since it uses less digits than its factorization.

48876195771 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2158 (or 2139 counting only the distinct ones).

The product of its digits is 23708160, while the sum is 63.

The spelling of 48876195771 in words is "forty-eight billion, eight hundred seventy-six million, one hundred ninety-five thousand, seven hundred seventy-one".

Divisors: 1 3 9 13 27 39 61 89 117 169 183 267 351 507 549 793 801 1157 1521 1647 1973 2379 2403 3471 4563 5429 5919 7137 10309 10413 15041 16287 17757 21411 25649 30927 31239 45123 48861 53271 70577 76947 92781 120353 135369 146583 175597 211731 230841 278343 333437 361059 406107 526791 635193 692523 917501 1000311 1083177 1564589 1580373 1905579 2282761 2752503 3000933 3249531 4693767 4741119 6848283 8257509 9002799 10711417 14081301 20339657 20544849 24772527 29675893 32134251 42243903 61018971 61634547 89027679 96402753 139248421 183056913 267083037 289208259 417745263 549170739 801249111 1253235789 1810229473 3759707367 5430688419 16292065257 48876195771