Search a number
-
+
166484816316 = 223371341413167
BaseRepresentation
bin1001101100001101000…
…1001011000110111100
3120220201121112221122000
42123003101023012330
510211430103110231
6204252043222300
715012435406140
oct2330321130674
9526647487560
10166484816316
116467337a695
1228323517990
1312912902640
1480b4c85220
1544e5e3e6e6
hex26c344b1bc

166484816316 has 192 divisors, whose sum is σ = 544191836160. Its totient is φ = 42837050880.

The previous prime is 166484816299. The next prime is 166484816359. The reversal of 166484816316 is 613618484661.

166484816316 is a `hidden beast` number, since 1 + 66 + 48 + 481 + 63 + 1 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 196365 + ... + 609531.

It is an arithmetic number, because the mean of its divisors is an integer number (2834332480).

Almost surely, 2166484816316 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 166484816316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272095918080).

166484816316 is an abundant number, since it is smaller than the sum of its proper divisors (377707019844).

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

166484816316 is a wasteful number, since it uses less digits than its factorization.

166484816316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413241 (or 413233 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 166484816316 in words is "one hundred sixty-six billion, four hundred eighty-four million, eight hundred sixteen thousand, three hundred sixteen".