Search a number
-
+
12202736832 = 263611133159
BaseRepresentation
bin10110101110101011…
…01111110011000000
31011111102121021000000
423113111233303000
5144442400034312
65334511000000
7611252360136
oct132725576300
934442537000
1012202736832
1151a2143880
122446809000
1311c6169750
1483a913756
154b646aadc
hex2d756fcc0

12202736832 has 784 divisors, whose sum is σ = 44774876160. Its totient is φ = 3247257600.

The previous prime is 12202736831. The next prime is 12202736879. The reversal of 12202736832 is 23863720221.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12202736831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 206826019 + ... + 206826077.

Almost surely, 212202736832 is an apocalyptic number.

12202736832 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 12202736832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22387438080).

12202736832 is an abundant number, since it is smaller than the sum of its proper divisors (32572139328).

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

12202736832 is a wasteful number, since it uses less digits than its factorization.

12202736832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 12202736832 in words is "twelve billion, two hundred two million, seven hundred thirty-six thousand, eight hundred thirty-two".