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2107166910228 = 223294162202353
BaseRepresentation
bin11110101010011100111…
…011110110011100010100
321110102222002021221210100
4132222130323312130110
5234010434212111403
64252004043454100
7305144363132412
oct36523473663424
97412862257710
102107166910228
1174270a872696
122a0471b27330
13123921b198a3
1473db76b82b2
1539c2b5012a3
hex1ea9cef6714

2107166910228 has 36 divisors (see below), whose sum is σ = 5332110189588. Its totient is φ = 701642530560.

The previous prime is 2107166910227. The next prime is 2107166910281. The reversal of 2107166910228 is 8220196617012.

2107166910228 is a `hidden beast` number, since 210 + 71 + 66 + 91 + 0 + 228 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 569695867524 + 1537471042704 = 754782^2 + 1239948^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×21071669102282 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2107166910227) 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, 31067301 + ... + 31135052.

It is an arithmetic number, because the mean of its divisors is an integer number (148114171933).

Almost surely, 22107166910228 is an apocalyptic number.

It is an amenable number.

2107166910228 is an abundant number, since it is smaller than the sum of its proper divisors (3224943279360).

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

2107166910228 is a wasteful number, since it uses less digits than its factorization.

2107166910228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62203304 (or 62203299 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 2107166910228 in words is "two trillion, one hundred seven billion, one hundred sixty-six million, nine hundred ten thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 941 1882 2823 3764 5646 8469 11292 16938 33876 62202353 124404706 186607059 248809412 373214118 559821177 746428236 1119642354 2239284708 58532414173 117064828346 175597242519 234129656692 351194485038 526791727557 702388970076 1053583455114 2107166910228