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2109669012 = 22321110152747
BaseRepresentation
bin111110110111110…
…1111111010010100
312110000201021211100
41331233233322110
513310033402022
6545201310100
7103164614343
oct17557577224
95400637740
102109669012
11992942610
124aa635330
132780c4b79
14160285b5a
15c53271ac
hex7dbefe94

2109669012 has 72 divisors (see below), whose sum is σ = 5875283232. Its totient is φ = 632952000.

The previous prime is 2109669007. The next prime is 2109669041.

2109669012 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×21096690122 = 8901406680386112288, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13623 + ... + 66369.

It is an arithmetic number, because the mean of its divisors is an integer number (81601156).

Almost surely, 22109669012 is an apocalyptic number.

2109669012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2109669012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2937641616).

2109669012 is an abundant number, since it is smaller than the sum of its proper divisors (3765614220).

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

2109669012 is a wasteful number, since it uses less digits than its factorization.

2109669012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52869 (or 52864 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 2109669012 is about 45931.1333628945. The cubic root of 2109669012 is about 1282.5415428332.

The spelling of 2109669012 in words is "two billion, one hundred nine million, six hundred sixty-nine thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 101 132 198 202 303 396 404 606 909 1111 1212 1818 2222 3333 3636 4444 6666 9999 13332 19998 39996 52747 105494 158241 210988 316482 474723 580217 632964 949446 1160434 1740651 1898892 2320868 3481302 5221953 5327447 6962604 10443906 10654894 15982341 20887812 21309788 31964682 47947023 58601917 63929364 95894046 117203834 175805751 191788092 234407668 351611502 527417253 703223004 1054834506 2109669012