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2106677376 = 2733609571
BaseRepresentation
bin111110110010001…
…0101100010000000
312102211002022002000
41331210111202000
513303302134001
6545013224000
7103130314356
oct17544254200
95384068060
102106677376
11991189991
124a9632000
132775b827b
1415db077d6
15c4e35a86
hex7d915880

2106677376 has 64 divisors (see below), whose sum is σ = 6217634400. Its totient is φ = 702224640.

The previous prime is 2106677369. The next prime is 2106677389. The reversal of 2106677376 is 6737766012.

2106677376 is a `hidden beast` number, since 210 + 6 + 67 + 7 + 376 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 301330 + ... + 308241.

Almost surely, 22106677376 is an apocalyptic number.

It is an amenable number.

2106677376 is an abundant number, since it is smaller than the sum of its proper divisors (4110957024).

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

2106677376 is an equidigital number, since it uses as much as digits as its factorization.

2106677376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609594 (or 609576 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The square root of 2106677376 is about 45898.5552713808. Note that the first 3 decimals coincide. The cubic root of 2106677376 is about 1281.9350160101.

The spelling of 2106677376 in words is "two billion, one hundred six million, six hundred seventy-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 609571 1219142 1828713 2438284 3657426 4876568 5486139 7314852 9753136 10972278 14629704 16458417 19506272 21944556 29259408 32916834 39012544 43889112 58518816 65833668 78025088 87778224 117037632 131667336 175556448 234075264 263334672 351112896 526669344 702225792 1053338688 2106677376