Search a number
-
+
16442670144177 = 323115874480223
BaseRepresentation
bin1110111101000101101110…
…0000110101101010110001
32011012220101221202002102200
43233101123200311222301
54123344042024103202
654545354113333413
73314641460115264
oct357213340655261
964186357662380
1016442670144177
11526a32a700732
121a16848b67269
139236ca13b174
1440bb8814ccdb
151d7aa18e4e1c
hexef45b835ab1

16442670144177 has 12 divisors (see below), whose sum is σ = 23826891788544. Its totient is φ = 10926533212920.

The previous prime is 16442670144167. The next prime is 16442670144179. The reversal of 16442670144177 is 77144107624461.

16442670144177 is a `hidden beast` number, since 1 + 6 + 4 + 426 + 7 + 0 + 1 + 44 + 177 = 666.

It is not a de Polignac number, because 16442670144177 - 216 = 16442670078641 is a prime.

It is a super-3 number, since 3×164426701441773 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 not an unprimeable number, because it can be changed into a prime (16442670144179) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2937237313 + ... + 2937242910.

It is an arithmetic number, because the mean of its divisors is an integer number (1985574315712).

Almost surely, 216442670144177 is an apocalyptic number.

It is an amenable number.

16442670144177 is a deficient number, since it is larger than the sum of its proper divisors (7384221644367).

16442670144177 is a wasteful number, since it uses less digits than its factorization.

16442670144177 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5874480540 (or 5874480537 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 16442670144177 in words is "sixteen trillion, four hundred forty-two billion, six hundred seventy million, one hundred forty-four thousand, one hundred seventy-seven".

Divisors: 1 3 9 311 933 2799 5874480223 17623440669 52870322007 1826963349353 5480890048059 16442670144177