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13255482240 = 2732571131319
BaseRepresentation
bin11000101100001011…
…01001101110000000
31021012210112021012200
430112011221232000
5204121400412430
610031154553200
7646324511550
oct142605515600
937183467180
1013255482240
115692413000
12269b298800
1313332b3820
148da671160
15528aba460
hex316169b80

13255482240 has 1536 divisors, whose sum is σ = 65226470400. Its totient is φ = 2408693760.

The previous prime is 13255482209. The next prime is 13255482257. The reversal of 13255482240 is 4228455231.

13255482240 is a `hidden beast` number, since 1 + 3 + 2 + 554 + 82 + 24 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 13255482195 and 13255482204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 697656951 + ... + 697656969.

It is an arithmetic number, because the mean of its divisors is an integer number (42465150).

Almost surely, 213255482240 is an apocalyptic number.

13255482240 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 13255482240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32613235200).

13255482240 is an abundant number, since it is smaller than the sum of its proper divisors (51970988160).

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

13255482240 is a wasteful number, since it uses less digits than its factorization.

13255482240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 13255482240 in words is "thirteen billion, two hundred fifty-five million, four hundred eighty-two thousand, two hundred forty".