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48118584051 = 32291073494937
BaseRepresentation
bin101100110100000101…
…110101001011110011
311121012110121100010200
4230310011311023303
51242021324142201
634034432130243
73322265134026
oct546405651363
9147173540120
1048118584051
111945276043a
1293aa996983
1346cb044c55
1424869031bd
1513b9608386
hexb341752f3

48118584051 has 48 divisors (see below), whose sum is σ = 72795996000. Its totient is φ = 30589300224.

The previous prime is 48118584049. The next prime is 48118584061. The reversal of 48118584051 is 15048581184.

48118584051 is a `hidden beast` number, since 4 + 8 + 1 + 18 + 584 + 0 + 51 = 666.

It is not a de Polignac number, because 48118584051 - 21 = 48118584049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 48118583988 and 48118584006.

It is not an unprimeable number, because it can be changed into a prime (48118584011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9744055 + ... + 9748991.

It is an arithmetic number, because the mean of its divisors is an integer number (1516583250).

Almost surely, 248118584051 is an apocalyptic number.

48118584051 is a deficient number, since it is larger than the sum of its proper divisors (24677411949).

48118584051 is a wasteful number, since it uses less digits than its factorization.

48118584051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5428 (or 5425 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 45.

The spelling of 48118584051 in words is "forty-eight billion, one hundred eighteen million, five hundred eighty-four thousand, fifty-one".

Divisors: 1 3 9 29 87 107 261 321 349 963 1047 3103 3141 4937 9309 10121 14811 27927 30363 37343 44433 91089 112029 143173 336087 429519 528259 1082947 1288557 1584777 1723013 3248841 4754331 5169039 9746523 15319511 15507117 45958533 49967377 137875599 149902131 184362391 449706393 553087173 1659261519 5346509339 16039528017 48118584051