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2105716752 = 243214623033
BaseRepresentation
bin111110110000010…
…1011000000010000
312102202021111100100
41331200223000100
513303030414002
6544540452400
7103116203616
oct17540530020
95382244310
102105716752
11990693187
124a924a100
1327733cc59
1415d9376b6
15c4ce611c
hex7d82b010

2105716752 has 30 divisors (see below), whose sum is σ = 5893082702. Its totient is φ = 701905536.

The previous prime is 2105716741. The next prime is 2105716759. The reversal of 2105716752 is 2576175012.

2105716752 is a `hidden beast` number, since 2 + 10 + 571 + 6 + 75 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1122518016 + 983198736 = 33504^2 + 31356^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2105716759) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7311373 + ... + 7311660.

Almost surely, 22105716752 is an apocalyptic number.

It is an amenable number.

2105716752 is an abundant number, since it is smaller than the sum of its proper divisors (3787365950).

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

2105716752 is a wasteful number, since it uses less digits than its factorization.

2105716752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14623047 (or 14623038 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The square root of 2105716752 is about 45888.0894350593. The cubic root of 2105716752 is about 1281.7401364996.

The spelling of 2105716752 in words is "two billion, one hundred five million, seven hundred sixteen thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 14623033 29246066 43869099 58492132 87738198 116984264 131607297 175476396 233968528 263214594 350952792 526429188 701905584 1052858376 2105716752