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12443418820 = 22571941711607
BaseRepresentation
bin10111001011010111…
…11000000011000100
31012010012111011121201
423211223320003010
5200441003400240
65414425352244
7620234212660
oct134553700304
935105434551
1012443418820
115305a92808
1224b3338684
131233c98b21
148608858a0
154cc65dd9a
hex2e5af80c4

12443418820 has 192 divisors, whose sum is σ = 32676618240. Its totient is φ = 3885235200.

The previous prime is 12443418809. The next prime is 12443418833. The reversal of 12443418820 is 2881434421.

It is a super-3 number, since 3×124434188203 (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12443418820.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7742457 + ... + 7744063.

It is an arithmetic number, because the mean of its divisors is an integer number (170190720).

Almost surely, 212443418820 is an apocalyptic number.

12443418820 is a gapful number since it is divisible by the number (10) 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 12443418820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16338309120).

12443418820 is an abundant number, since it is smaller than the sum of its proper divisors (20233199420).

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

12443418820 is a wasteful number, since it uses less digits than its factorization.

12443418820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1754 (or 1752 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 37.

The spelling of 12443418820 in words is "twelve billion, four hundred forty-three million, four hundred eighteen thousand, eight hundred twenty".