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2106065826 = 233372294603
BaseRepresentation
bin111110110001000…
…0000001110100010
312102202221020012000
41331202000032202
513303123101301
6544552144430
7103122156414
oct17542001642
95382836160
102106065826
11990901477
124a9398116
13277432ac7
1415d9c89b4
15c4d64786
hex7d8803a2

2106065826 has 64 divisors (see below), whose sum is σ = 4828675200. Its totient is φ = 679917888.

The previous prime is 2106065813. The next prime is 2106065827. The reversal of 2106065826 is 6285606012.

2106065826 is a `hidden beast` number, since 2 + 10 + 60 + 6 + 582 + 6 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2106065827) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 455241 + ... + 459843.

It is an arithmetic number, because the mean of its divisors is an integer number (75448050).

Almost surely, 22106065826 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2106065826, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2414337600).

2106065826 is an abundant number, since it is smaller than the sum of its proper divisors (2722609374).

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

2106065826 is a wasteful number, since it uses less digits than its factorization.

2106065826 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4880 (or 4874 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2106065826 is about 45891.8928134371. The cubic root of 2106065826 is about 1281.8109591675.

The spelling of 2106065826 in words is "two billion, one hundred six million, sixty-five thousand, eight hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 37 54 74 111 222 229 333 458 666 687 999 1374 1998 2061 4122 4603 6183 8473 9206 12366 13809 16946 25419 27618 41427 50838 76257 82854 124281 152514 170311 228771 248562 340622 457542 510933 1021866 1054087 1532799 2108174 3065598 3162261 4598397 6324522 9196794 9486783 18973566 28460349 39001219 56920698 78002438 117003657 234007314 351010971 702021942 1053032913 2106065826