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13055560689600 = 26395211132223
BaseRepresentation
bin1011110111111011110000…
…0011101010011111000000
31201020002200110202000000000
42331332330003222133000
53202400242014031400
643433350343000000
72515142651564232
oct275767403523700
951202613660000
1013055560689600
114183917719190
12156a308a39000
1373919879a900
14331c6d08a252
151799122d8600
hexbdfbc0ea7c0

13055560689600 has 2520 divisors, whose sum is σ = 57176947441152. Its totient is φ = 2908423065600.

The previous prime is 13055560689571. The next prime is 13055560689601. The reversal of 13055560689600 is 698606555031.

It is a happy number.

13055560689600 is a `hidden beast` number, since 1 + 3 + 0 + 5 + 556 + 0 + 6 + 89 + 6 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13055560689601) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 58545115089 + ... + 58545115311.

Almost surely, 213055560689600 is an apocalyptic number.

13055560689600 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 13055560689600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28588473720576).

13055560689600 is an abundant number, since it is smaller than the sum of its proper divisors (44121386751552).

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

13055560689600 is an equidigital number, since it uses as much as digits as its factorization.

13055560689600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The spelling of 13055560689600 in words is "thirteen trillion, fifty-five billion, five hundred sixty million, six hundred eighty-nine thousand, six hundred".