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7105643982 = 2323112734129
BaseRepresentation
bin1101001111000011…
…11000010111001110
3200100012112010002100
412213201320113032
5104023021101412
63133030335530
7341040656133
oct64741702716
920305463070
107105643982
113016a50548
1214637ba5a6
13893174688
144b59ba58a
152b8c35edc
hex1a78785ce

7105643982 has 24 divisors (see below), whose sum is σ = 15892194240. Its totient is φ = 2292143040.

The previous prime is 7105643981. The next prime is 7105643983. The reversal of 7105643982 is 2893465017.

7105643982 is a `hidden beast` number, since 7 + 1 + 0 + 564 + 3 + 9 + 82 = 666.

7105643982 is digitally balanced in base 10, 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 (7105643981) and next prime (7105643983).

7105643982 is strictly pandigital in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7105643981) 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, 6366507 + ... + 6367622.

It is an arithmetic number, because the mean of its divisors is an integer number (662174760).

It is a 1-persistent number, because it is pandigital, but 2⋅7105643982 = 14211287964 is not.

Almost surely, 27105643982 is an apocalyptic number.

7105643982 is an abundant number, since it is smaller than the sum of its proper divisors (8786550258).

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

7105643982 is a wasteful number, since it uses less digits than its factorization.

7105643982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12734168 (or 12734165 counting only the distinct ones).

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

The square root of 7105643982 is about 84294.9819502917. The cubic root of 7105643982 is about 1922.5064904410.

The spelling of 7105643982 in words is "seven billion, one hundred five million, six hundred forty-three thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 558 12734129 25468258 38202387 76404774 114607161 229214322 394757999 789515998 1184273997 2368547994 3552821991 7105643982