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2106483975 = 3452832151
BaseRepresentation
bin111110110001110…
…0110010100000111
312102210201110210000
41331203212110013
513303224441400
6545005132343
7103125550461
oct17543462407
95383643700
102106483975
11991067652
124a955a0b3
1327754b22b
1415da97131
15c4de8600
hex7d8e6507

2106483975 has 90 divisors (see below), whose sum is σ = 3975669896. Its totient is φ = 1102572000.

The previous prime is 2106483971. The next prime is 2106483983. The reversal of 2106483975 is 5793846012.

2106483975 is a `hidden beast` number, since 210 + 6 + 48 + 397 + 5 = 666.

2106483975 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2106483975 - 22 = 2106483971 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

2106483975 is strictly pandigital in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 2106483975.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2106483971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 13950150 + ... + 13950300.

It is a 1-persistent number, because it is pandigital, but 2⋅2106483975 = 4212967950 is not.

Almost surely, 22106483975 is an apocalyptic number.

2106483975 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2106483975 is a deficient number, since it is larger than the sum of its proper divisors (1869185921).

2106483975 is an equidigital number, since it uses as much as digits as its factorization.

2106483975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2106483975 is about 45896.4483920052. The cubic root of 2106483975 is about 1281.8957859720.

The spelling of 2106483975 in words is "two billion, one hundred six million, four hundred eighty-three thousand, nine hundred seventy-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 83 135 151 225 249 405 415 453 675 747 755 1245 1359 2025 2075 2241 2265 3735 3775 4077 6225 6723 6795 6889 11205 11325 12231 12533 18675 20385 20667 33615 33975 34445 37599 56025 61155 62001 62665 101925 103335 112797 168075 172225 186003 187995 305775 310005 313325 338391 516675 558009 563985 930015 939975 1015173 1040239 1550025 1691955 2790045 2819925 3120717 4650075 5075865 5201195 8459775 9362151 13950225 15603585 25379325 26005975 28086453 46810755 78017925 84259359 140432265 234053775 421296795 702161325 2106483975