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13255280640 = 2113557761
BaseRepresentation
bin11000101100001001…
…11000100000000000
31021012210011000200000
430112010320200000
5204121322440030
610031150400000
7646323012030
oct142604704000
937183130600
1013255280640
115692295598
12269b200000
131333242b34
148da61b8c0
15528a7a860
hex316138800

13255280640 has 576 divisors, whose sum is σ = 54519454080. Its totient is φ = 3025797120.

The previous prime is 13255280639. The next prime is 13255280641. The reversal of 13255280640 is 4608255231.

13255280640 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 5 + 2 + 8 + 0 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (13255280639) and next prime (13255280641).

It is a tau number, because it is divible by the number of its divisors (576).

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 = 13255280595 and 13255280604.

It is not an unprimeable number, because it can be changed into a prime (13255280641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17417860 + ... + 17418620.

It is an arithmetic number, because the mean of its divisors is an integer number (94651830).

Almost surely, 213255280640 is an apocalyptic number.

13255280640 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 13255280640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27259727040).

13255280640 is an abundant number, since it is smaller than the sum of its proper divisors (41264173440).

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

13255280640 is an frugal number, since it uses more digits than its factorization.

13255280640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 13255280640 in words is "thirteen billion, two hundred fifty-five million, two hundred eighty thousand, six hundred forty".