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12513423211632 = 24327471032564369
BaseRepresentation
bin1011011000011000001000…
…1001010011110001110000
31122022021022222102121201100
42312012002021103301300
53120004442320233012
642340330503204400
72431031202214560
oct266060211236160
948267288377640
1012513423211632
113a94a051a6932
1214a1228146700
136ca01a7b9b25
1431391d854da0
1516a7822018dc
hexb6182253c70

12513423211632 has 240 divisors, whose sum is σ = 41271504168960. Its totient is φ = 3465220220928.

The previous prime is 12513423211537. The next prime is 12513423211717. The reversal of 12513423211632 is 23611232431521.

12513423211632 is a `hidden beast` number, since 1 + 2 + 5 + 1 + 3 + 4 + 2 + 3 + 2 + 11 + 632 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3597544 + ... + 6161912.

It is an arithmetic number, because the mean of its divisors is an integer number (171964600704).

Almost surely, 212513423211632 is an apocalyptic number.

12513423211632 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 12513423211632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20635752084480).

12513423211632 is an abundant number, since it is smaller than the sum of its proper divisors (28758080957328).

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

12513423211632 is a wasteful number, since it uses less digits than its factorization.

12513423211632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2564540 (or 2564531 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The spelling of 12513423211632 in words is "twelve trillion, five hundred thirteen billion, four hundred twenty-three million, two hundred eleven thousand, six hundred thirty-two".