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13243963500 = 22325323413121
BaseRepresentation
bin11000101010110011…
…01101100001101100
31021011222212001110200
430111121231201230
5204110423313000
610030104033500
7646124555325
oct142531554154
937158761420
1013243963500
115686965889
122697462890
131330aac8c1
148d8d1344c
15527a92500
hex31566d86c

13243963500 has 288 divisors, whose sum is σ = 44674471296. Its totient is φ = 3294720000.

The previous prime is 13243963457. The next prime is 13243963501. The reversal of 13243963500 is 536934231.

It is a happy number.

13243963500 is a `hidden beast` number, since 13 + 2 + 4 + 3 + 9 + 635 + 0 + 0 = 666.

13243963500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (13243963501) 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 95 ways as a sum of consecutive naturals, for example, 4241940 + ... + 4245060.

It is an arithmetic number, because the mean of its divisors is an integer number (155119692).

Almost surely, 213243963500 is an apocalyptic number.

13243963500 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 13243963500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22337235648).

13243963500 is an abundant number, since it is smaller than the sum of its proper divisors (31430507796).

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

13243963500 is a wasteful number, since it uses less digits than its factorization.

13243963500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3210 (or 3195 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 13243963500 in words is "thirteen billion, two hundred forty-three million, nine hundred sixty-three thousand, five hundred".