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13247815680 = 213355113
BaseRepresentation
bin11000101011010000…
…11010000000000000
31021012021002202200000
430111220122000000
5204112420100210
610030322400000
7646202401221
oct142550320000
937167082600
1013247815680
115689057000
122698800000
13133182b0b8
148d9637248
155280a3ac0
hex315a1a000

13247815680 has 672 divisors, whose sum is σ = 52382611008. Its totient is φ = 3211591680.

The previous prime is 13247815673. The next prime is 13247815687. The reversal of 13247815680 is 8651874231.

13247815680 is a `hidden beast` number, since 1 + 3 + 2 + 4 + 7 + 81 + 568 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13247815673) and next prime (13247815687).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13247815687) 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, 1204346875 + ... + 1204346885.

It is an arithmetic number, because the mean of its divisors is an integer number (77950314).

Almost surely, 213247815680 is an apocalyptic number.

13247815680 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 13247815680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26191305504).

13247815680 is an abundant number, since it is smaller than the sum of its proper divisors (39134795328).

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

13247815680 is an frugal number, since it uses more digits than its factorization.

13247815680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 13247815680 in words is "thirteen billion, two hundred forty-seven million, eight hundred fifteen thousand, six hundred eighty".