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12927055680 = 2635571117127
BaseRepresentation
bin11000000101000001…
…10011011101000000
31020100220112110200000
430002200303131000
5202433311240210
65534423400000
7635226105660
oct140240633500
936326473600
1012927055680
115533a932a0
1226092b3000
1312b0241c96
148a8bbc1a0
15509d43ac0
hex302833740

12927055680 has 1344 divisors, whose sum is σ = 61349363712. Its totient is φ = 2508226560.

The previous prime is 12927055651. The next prime is 12927055711. The reversal of 12927055680 is 8655072921.

12927055680 is a `hidden beast` number, since 1 + 2 + 92 + 7 + 0 + 556 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

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, 101787777 + ... + 101787903.

It is an arithmetic number, because the mean of its divisors is an integer number (45646848).

Almost surely, 212927055680 is an apocalyptic number.

12927055680 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 12927055680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30674681856).

12927055680 is an abundant number, since it is smaller than the sum of its proper divisors (48422308032).

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

12927055680 is a wasteful number, since it uses less digits than its factorization.

12927055680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 12927055680 in words is "twelve billion, nine hundred twenty-seven million, fifty-five thousand, six hundred eighty".