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13594439040 = 2735713292683
BaseRepresentation
bin11001010100100101…
…01010110110000000
31022002102100001112020
430222102222312000
5210320134022130
610124544001440
7660611553030
oct145222526600
938072301466
1013594439040
115846785296
122774900280
1313885a1390
1492d6a58c0
15548721e10
hex32a4aad80

13594439040 has 512 divisors, whose sum is σ = 55191628800. Its totient is φ = 2768338944.

The previous prime is 13594439017. The next prime is 13594439051. The reversal of 13594439040 is 4093449531.

It is a super-2 number, since 2×135944390402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 13594438983 and 13594439001.

It is a congruent number.

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, 5065539 + ... + 5068221.

It is an arithmetic number, because the mean of its divisors is an integer number (107796150).

Almost surely, 213594439040 is an apocalyptic number.

13594439040 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 13594439040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27595814400).

13594439040 is an abundant number, since it is smaller than the sum of its proper divisors (41597189760).

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

13594439040 is a wasteful number, since it uses less digits than its factorization.

13594439040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2754 (or 2742 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 13594439040 in words is "thirteen billion, five hundred ninety-four million, four hundred thirty-nine thousand, forty".