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12450747232 = 25711171312269
BaseRepresentation
bin10111001100001111…
…10101001101100000
31012010201021111022101
423212013311031200
5200444342402412
65415250420144
7620353414420
oct134607651540
935121244271
1012450747232
11530a138750
1224b5891654
131235663671
14861832480
154cd10a457
hex2e61f5360

12450747232 has 192 divisors, whose sum is σ = 32620008960. Its totient is φ = 4528742400.

The previous prime is 12450747209. The next prime is 12450747233. The reversal of 12450747232 is 23274705421.

12450747232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×124507472322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12450747191 and 12450747200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12450747233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5486194 + ... + 5488462.

It is an arithmetic number, because the mean of its divisors is an integer number (169895880).

Almost surely, 212450747232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12450747232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16310004480).

12450747232 is an abundant number, since it is smaller than the sum of its proper divisors (20169261728).

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

12450747232 is a wasteful number, since it uses less digits than its factorization.

12450747232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2445 (or 2437 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 37.

The spelling of 12450747232 in words is "twelve billion, four hundred fifty million, seven hundred forty-seven thousand, two hundred thirty-two".