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12046379536 = 2423211932
BaseRepresentation
bin10110011100000010…
…10010101000010000
31011002112101111010001
423032001102220100
5144132333121121
65311203415344
7604343352022
oct131601225020
934075344101
1012046379536
11512195a274
122402384554
13119c953039
14823c52012
154a7882991
hex2ce052a10

12046379536 has 45 divisors (see below), whose sum is σ = 24419226349. Its totient is φ = 5756482688.

The previous prime is 12046379533. The next prime is 12046379551. The reversal of 12046379536 is 63597364021.

The square root of 12046379536 is 109756.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 6187395600 + 5858983936 = 78660^2 + 76544^2 .

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12046379533) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10096956 + ... + 10098148.

Almost surely, 212046379536 is an apocalyptic number.

12046379536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12046379536 is the 109756-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12046379536

12046379536 is an abundant number, since it is smaller than the sum of its proper divisors (12372846813).

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

12046379536 is an frugal number, since it uses more digits than its factorization.

12046379536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2440 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 46.

The spelling of 12046379536 in words is "twelve billion, forty-six million, three hundred seventy-nine thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 23 46 92 184 368 529 1058 1193 2116 2386 4232 4772 8464 9544 19088 27439 54878 109756 219512 439024 631097 1262194 1423249 2524388 2846498 5048776 5692996 10097552 11385992 22771984 32734727 65469454 130938908 261877816 523755632 752898721 1505797442 3011594884 6023189768 12046379536