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2106042048 = 263211332393
BaseRepresentation
bin111110110000111…
…1010011011000000
312102202220000120100
41331201322123000
513303121321143
6544551442400
7103122030165
oct17541723300
95382800510
102106042048
11990895620
124a9386400
13277425036
1415d9c006c
15c4d5c6d3
hex7d87a6c0

2106042048 has 84 divisors (see below), whose sum is σ = 6585389928. Its totient is φ = 638192640.

The previous prime is 2106042047. The next prime is 2106042049. The reversal of 2106042048 is 8402406012.

2106042048 is a `hidden beast` number, since 2 + 10 + 604 + 2 + 0 + 48 = 666.

2106042048 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2106042047) and next prime (2106042049).

It is not an unprimeable number, because it can be changed into a prime (2106042041) 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, 159861 + ... + 172532.

Almost surely, 22106042048 is an apocalyptic number.

It is an amenable number.

2106042048 is an abundant number, since it is smaller than the sum of its proper divisors (4479347880).

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

2106042048 is a wasteful number, since it uses less digits than its factorization.

2106042048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332422 (or 332409 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2106042048 is about 45891.6337473400. The cubic root of 2106042048 is about 1281.8061351626.

The spelling of 2106042048 in words is "two billion, one hundred six million, forty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 704 792 1056 1584 2112 3168 6336 332393 664786 997179 1329572 1994358 2659144 2991537 3656323 3988716 5318288 5983074 7312646 7977432 10636576 10968969 11966148 14625292 15954864 21273152 21937938 23932296 29250584 31909728 32906907 43875876 47864592 58501168 63819456 65813814 87751752 95729184 117002336 131627628 175503504 191458368 234004672 263255256 351007008 526510512 702014016 1053021024 2106042048