Search a number
-
+
12945692232 = 2332112232532
BaseRepresentation
bin11000000111001111…
…11001011001001000
31020102012121022012200
430003213321121020
5203003044122412
65540331040200
7635543365644
oct140347713110
936365538180
1012945692232
115543562200
1226135a0060
1312b4068925
148ab46dc24
1550b7c59dc
hex3039f9648

12945692232 has 324 divisors, whose sum is σ = 41061303465. Its totient is φ = 3681575040.

The previous prime is 12945692183. The next prime is 12945692233. The reversal of 12945692232 is 23229654921.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 12279742596 + 665949636 = 110814^2 + 25806^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=80454.

It is a super-3 number, since 3×129456922323 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (12945692233) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 244258318 + ... + 244258370.

Almost surely, 212945692232 is an apocalyptic number.

12945692232 is a gapful number since it is divisible by the number (12) 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 12945692232

12945692232 is an abundant number, since it is smaller than the sum of its proper divisors (28115611233).

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

12945692232 is a wasteful number, since it uses less digits than its factorization.

12945692232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 92 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The spelling of 12945692232 in words is "twelve billion, nine hundred forty-five million, six hundred ninety-two thousand, two hundred thirty-two".