Search a number
-
+
171318780052056 = 23337132670450127
BaseRepresentation
bin100110111101000001000011…
…000001110100001001011000
3211110120220201100021020121000
4212331001003001310021120
5134423341330143131211
61404210432215345000
751041242035244230
oct4675010301641130
9743526640236530
10171318780052056
114a65098308256a
121726a888982160
1374793a3964a00
143043c320a4cc0
1514c15dbcca656
hex9bd043074258

171318780052056 has 192 divisors, whose sum is σ = 588923392435200. Its totient is φ = 45182974891392.

The previous prime is 171318780052051. The next prime is 171318780052073. The reversal of 171318780052056 is 650250087813171.

171318780052056 is a `hidden beast` number, since 1 + 7 + 1 + 31 + 8 + 7 + 80 + 0 + 520 + 5 + 6 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 171318780051993 and 171318780052011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (171318780052051) 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, 334969536 + ... + 335480591.

It is an arithmetic number, because the mean of its divisors is an integer number (3067309335600).

Almost surely, 2171318780052056 is an apocalyptic number.

It is an amenable number.

171318780052056 is an abundant number, since it is smaller than the sum of its proper divisors (417604612383144).

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

171318780052056 is a wasteful number, since it uses less digits than its factorization.

171318780052056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670450175 (or 670450152 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 54.

The spelling of 171318780052056 in words is "one hundred seventy-one trillion, three hundred eighteen billion, seven hundred eighty million, fifty-two thousand, fifty-six".