Search a number
-
+
12673606680000 = 2636547292141
BaseRepresentation
bin1011100001101100110111…
…0100101111110111000000
31122212120210102212221000000
42320123031310233313000
53130121021302230000
642542101411000000
72445431534223150
oct270331564576700
948776712787000
1012673606680000
114046934630542
121508291299000
1370c167a731c6
1431b597886760
1516ea09d30000
hexb86cdd2fdc0

12673606680000 has 1960 divisors, whose sum is σ = 55732127885280. Its totient is φ = 2795627520000.

The previous prime is 12673606679969. The next prime is 12673606680079. The reversal of 12673606680000 is 8660637621.

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 279 ways as a sum of consecutive naturals, for example, 5919478930 + ... + 5919481070.

Almost surely, 212673606680000 is an apocalyptic number.

12673606680000 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 12673606680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27866063942640).

12673606680000 is an abundant number, since it is smaller than the sum of its proper divisors (43058521205280).

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

12673606680000 is an frugal number, since it uses more digits than its factorization.

12673606680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2227 (or 2187 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 12673606680000 in words is "twelve trillion, six hundred seventy-three billion, six hundred six million, six hundred eighty thousand".