Search a number
-
+
12087699136 = 26476476211
BaseRepresentation
bin10110100000111101…
…11010011011000000
31011012102010201221121
423100132322123000
5144223422333021
65315241202024
7605354514232
oct132036723300
934172121847
1012087699136
1151432112a7
122414190314
1311a838c3c6
1482952a252
154ab2e5741
hex2d07ba6c0

12087699136 has 56 divisors (see below), whose sum is σ = 24538692096. Its totient is φ = 5905163520.

The previous prime is 12087699101. The next prime is 12087699137. The reversal of 12087699136 is 63199678021.

It is a happy number.

It is a super-2 number, since 2×120876991362 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12087699137) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1943071 + ... + 1949281.

Almost surely, 212087699136 is an apocalyptic number.

12087699136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12087699136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12269346048).

12087699136 is an abundant number, since it is smaller than the sum of its proper divisors (12450992960).

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

12087699136 is an equidigital number, since it uses as much as digits as its factorization.

12087699136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6917 (or 6907 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 52.

The spelling of 12087699136 in words is "twelve billion, eighty-seven million, six hundred ninety-nine thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 47 64 94 188 376 647 752 1294 1504 2588 3008 5176 6211 10352 12422 20704 24844 30409 41408 49688 60818 99376 121636 198752 243272 291917 397504 486544 583834 973088 1167668 1946176 2335336 4018517 4670672 8037034 9341344 16074068 18682688 32148136 64296272 128592544 188870299 257185088 377740598 755481196 1510962392 3021924784 6043849568 12087699136