Search a number
-
+
1668019168512 = 283223231131337
BaseRepresentation
bin11000010001011101101…
…100001010010100000000
312220110110010100020212200
4120101131230022110000
5204312100401343022
63314135531353200
7231340032665544
oct30213554122400
95813403306780
101668019168512
11593448376544
1222b3342b2800
13c13a7b78148
145aa381d7a24
152d5c7d6bbac
hex1845db0a500

1668019168512 has 648 divisors, whose sum is σ = 5244812821248. Its totient is φ = 509231923200.

The previous prime is 1668019168471. The next prime is 1668019168601. The reversal of 1668019168512 is 2158619108661.

1668019168512 is a `hidden beast` number, since 1 + 6 + 68 + 0 + 1 + 9 + 1 + 68 + 512 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4949611608 + ... + 4949611944.

Almost surely, 21668019168512 is an apocalyptic number.

1668019168512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1668019168512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2622406410624).

1668019168512 is an abundant number, since it is smaller than the sum of its proper divisors (3576793652736).

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

1668019168512 is a wasteful number, since it uses less digits than its factorization.

1668019168512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 54.

The spelling of 1668019168512 in words is "one trillion, six hundred sixty-eight billion, nineteen million, one hundred sixty-eight thousand, five hundred twelve".