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12071506050 = 2325288130449
BaseRepresentation
bin10110011111000010…
…01001000010000010
31011011021200001012200
423033201021002002
5144210301143200
65313502134030
7605100052122
oct131741110202
934137601180
1012071506050
11513506118a
12240a881316
1311a4c0c9b6
14827312c82
154a9b97800
hex2cf849082

12071506050 has 72 divisors (see below), whose sum is σ = 32469992100. Its totient is φ = 3215308800.

The previous prime is 12071506021. The next prime is 12071506061. The reversal of 12071506050 is 5060517021.

12071506050 is a `hidden beast` number, since 1 + 2 + 0 + 7 + 1 + 50 + 605 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 735006321 + 11336499729 = 27111^2 + 106473^2 .

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 381226 + ... + 411674.

Almost surely, 212071506050 is an apocalyptic number.

12071506050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12071506050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16234996050).

12071506050 is an abundant number, since it is smaller than the sum of its proper divisors (20398486050).

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

12071506050 is a wasteful number, since it uses less digits than its factorization.

12071506050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31348 (or 31340 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The spelling of 12071506050 in words is "twelve billion, seventy-one million, five hundred six thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 881 1762 2643 4405 5286 7929 8810 13215 15858 22025 26430 30449 39645 44050 60898 66075 79290 91347 132150 152245 182694 198225 274041 304490 396450 456735 548082 761225 913470 1370205 1522450 2283675 2740410 4567350 6851025 13702050 26825569 53651138 80476707 134127845 160953414 241430121 268255690 402383535 482860242 670639225 804767070 1207150605 1341278450 2011917675 2414301210 4023835350 6035753025 12071506050