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2013416423361 = 347372469367
BaseRepresentation
bin11101010011001000111…
…110000111111111000001
321010110222110012202220000
4131103020332013333001
5230441434101021421
64140541205310213
7265315223136000
oct35231076077701
97113873182800
102013416423361
11706981099282
12286269105369
13117b30ca7b15
146d642656c37
1537590c89226
hex1d4c8f87fc1

2013416423361 has 40 divisors (see below), whose sum is σ = 3507517411200. Its totient is φ = 1150523654616.

The previous prime is 2013416423329. The next prime is 2013416423371. The reversal of 2013416423361 is 1633246143102.

2013416423361 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 4 + 1 + 642 + 3 + 3 + 6 + 1 = 666.

It is not a de Polignac number, because 2013416423361 - 25 = 2013416423329 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2013416423371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 36206901 + ... + 36262466.

It is an arithmetic number, because the mean of its divisors is an integer number (87687935280).

Almost surely, 22013416423361 is an apocalyptic number.

2013416423361 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2013416423361 is a deficient number, since it is larger than the sum of its proper divisors (1494100987839).

2013416423361 is an frugal number, since it uses more digits than its factorization.

2013416423361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72469400 (or 72469377 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 2013416423361 in words is "two trillion, thirteen billion, four hundred sixteen million, four hundred twenty-three thousand, three hundred sixty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 343 441 567 1029 1323 3087 3969 9261 27783 72469367 217408101 507285569 652224303 1521856707 1956672909 3550998983 4565570121 5870018727 10652996949 13696710363 24856992881 31958990847 41090131089 74570978643 95876972541 223712935929 287630917623 671138807787 2013416423361