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2105079217974 = 2331974412
BaseRepresentation
bin11110101000100000011…
…111111011111100110110
321110020120120221012102000
4132220200133323330312
5233442200234433344
64251020545200130
7305041553056155
oct36504037737466
97406516835360
102105079217974
11741839380597
1229bb8a930046
1312367b44ab25
1473c5a31359c
1539b580baa69
hex1ea207fbf36

2105079217974 has 24 divisors (see below), whose sum is σ = 4677977510760. Its totient is φ = 701689518720.

The previous prime is 2105079217903. The next prime is 2105079217999. The reversal of 2105079217974 is 4797129705012.

2105079217974 is a `hidden beast` number, since 21 + 0 + 507 + 9 + 21 + 7 + 97 + 4 = 666.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2105079217974.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10563094 + ... + 10760534.

It is an arithmetic number, because the mean of its divisors is an integer number (194915729615).

Almost surely, 22105079217974 is an apocalyptic number.

2105079217974 is an abundant number, since it is smaller than the sum of its proper divisors (2572898292786).

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

2105079217974 is an frugal number, since it uses more digits than its factorization.

2105079217974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394893 (or 197446 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 54.

Multiplying 2105079217974 by its sum of digits (54), we get a square (113674277770596 = 106618142).

2105079217974 divided by its sum of digits (54) gives a square (38982948481 = 1974412).

The spelling of 2105079217974 in words is "two trillion, one hundred five billion, seventy-nine million, two hundred seventeen thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 54 197441 394882 592323 1184646 1776969 3553938 5330907 10661814 38982948481 77965896962 116948845443 233897690886 350846536329 701693072658 1052539608987 2105079217974