Search a number
-
+
12963409500 = 2235317232312
BaseRepresentation
bin11000001001010110…
…11110111001011100
31020110102221102201210
430010223132321130
5203022113101000
65542202504420
7636150106536
oct140453367134
936412842653
1012963409500
115552563478
122619505110
1312b7930012
148ad962856
1550d125350
hex304adee5c

12963409500 has 432 divisors, whose sum is σ = 43174718496. Its totient is φ = 3011712000.

The previous prime is 12963409493. The next prime is 12963409541. The reversal of 12963409500 is 590436921.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 418174485 + ... + 418174515.

It is an arithmetic number, because the mean of its divisors is an integer number (99941478).

Almost surely, 212963409500 is an apocalyptic number.

12963409500 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 12963409500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21587359248).

12963409500 is an abundant number, since it is smaller than the sum of its proper divisors (30211308996).

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

12963409500 is a wasteful number, since it uses less digits than its factorization.

12963409500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The spelling of 12963409500 in words is "twelve billion, nine hundred sixty-three million, four hundred nine thousand, five hundred".