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2041166166 = 23131710115241
BaseRepresentation
bin111100110101001…
…1011100101010110
312021020210222120220
41321222123211112
513140014304131
6534313135210
7101403424524
oct17152334526
95236728526
102041166166
11958204396
1248b6ba506
13266b5b940
14155133314
15be2e4e96
hex79a9b956

2041166166 has 64 divisors (see below), whose sum is σ = 4701364416. Its totient is φ = 585216000.

The previous prime is 2041165967. The next prime is 2041166173. The reversal of 2041166166 is 6616611402.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126306 + ... + 141546.

It is an arithmetic number, because the mean of its divisors is an integer number (73458819).

Almost surely, 22041166166 is an apocalyptic number.

2041166166 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2041166166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2350682208).

2041166166 is an abundant number, since it is smaller than the sum of its proper divisors (2660198250).

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

2041166166 is a wasteful number, since it uses less digits than its factorization.

2041166166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15377.

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 2041166166 is about 45179.2669927258. The cubic root of 2041166166 is about 1268.5067629644.

Adding to 2041166166 its reverse (6616611402), we get a palindrome (8657777568).

The spelling of 2041166166 in words is "two billion, forty-one million, one hundred sixty-six thousand, one hundred sixty-six".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 101 102 202 221 303 442 606 663 1313 1326 1717 2626 3434 3939 5151 7878 10302 15241 22321 30482 44642 45723 66963 91446 133926 198133 259097 396266 518194 594399 777291 1188798 1539341 1554582 3078682 3368261 4618023 6736522 9236046 10104783 20011433 20209566 26168797 40022866 52337594 60034299 78506391 120068598 157012782 340194361 680388722 1020583083 2041166166