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13393602432 = 273278320011
BaseRepresentation
bin11000111100101001…
…00010011110000000
31021120102102111111100
430132110202132000
5204412230234212
610053011214400
7652622512410
oct143624423600
937512374440
1013393602432
115753380821
1227195a7400
131355ab3352
14910b46640
15535c9ebdc
hex31e522780

13393602432 has 192 divisors, whose sum is σ = 44580332160. Its totient is φ = 3780449280.

The previous prime is 13393602419. The next prime is 13393602437. The reversal of 13393602432 is 23420639331.

13393602432 is a `hidden beast` number, since 1 + 3 + 3 + 9 + 3 + 602 + 43 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×133936024322 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13393602437) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 659307 + ... + 679317.

It is an arithmetic number, because the mean of its divisors is an integer number (232189230).

Almost surely, 213393602432 is an apocalyptic number.

13393602432 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 13393602432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22290166080).

13393602432 is an abundant number, since it is smaller than the sum of its proper divisors (31186729728).

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

13393602432 is a wasteful number, since it uses less digits than its factorization.

13393602432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20121 (or 20106 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

The spelling of 13393602432 in words is "thirteen billion, three hundred ninety-three million, six hundred two thousand, four hundred thirty-two".