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2011505412 = 22371071631373
BaseRepresentation
bin111011111100101…
…0010001100000100
312012012000001200110
41313321102030010
513104421133122
6531333313020
7100563341160
oct16771221404
95165001613
102011505412
11942495874
12481795770
132609751b7
14151211ca0
15bb8d690c
hex77e52304

2011505412 has 96 divisors (see below), whose sum is σ = 5451328512. Its totient is φ = 565439616.

The previous prime is 2011505383. The next prime is 2011505413. The reversal of 2011505412 is 2145051102.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (2011505413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1464358 + ... + 1465730.

It is an arithmetic number, because the mean of its divisors is an integer number (56784672).

Almost surely, 22011505412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2011505412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2725664256).

2011505412 is an abundant number, since it is smaller than the sum of its proper divisors (3439823100).

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

2011505412 is a wasteful number, since it uses less digits than its factorization.

2011505412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1657 (or 1655 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 2011505412 is about 44849.8094979232. The cubic root of 2011505412 is about 1262.3324169549.

Adding to 2011505412 its reverse (2145051102), we get a palindrome (4156556514).

The spelling of 2011505412 in words is "two billion, eleven million, five hundred five thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 107 163 214 321 326 428 489 642 652 749 978 1141 1284 1373 1498 1956 2247 2282 2746 2996 3423 4119 4494 4564 5492 6846 8238 8988 9611 13692 16476 17441 19222 28833 34882 38444 52323 57666 69764 104646 115332 122087 146911 209292 223799 244174 293822 366261 440733 447598 488348 587644 671397 732522 881466 895196 1028377 1342794 1465044 1566593 1762932 2056754 2685588 3085131 3133186 4113508 4699779 6170262 6266372 9399558 12340524 18799116 23946493 47892986 71839479 95785972 143678958 167625451 287357916 335250902 502876353 670501804 1005752706 2011505412