Search a number
-
+
1366563373056 = 21432717471657
BaseRepresentation
bin10011111000101101100…
…001100100000000000000
311211122100011002011012100
4103320231201210000000
5134342210210414211
62523442431430400
7200505500004450
oct23705541440000
94748304064170
101366563373056
11487613441602
121a0a23385400
139bb3556380b
144a1db9bbd60
1525832996156
hex13e2d864000

1366563373056 has 720 divisors, whose sum is σ = 4881668553216. Its totient is φ = 359443464192.

The previous prime is 1366563373031. The next prime is 1366563373157. The reversal of 1366563373056 is 6503733656631.

It is a happy number.

1366563373056 is a `hidden beast` number, since 1 + 3 + 6 + 6 + 563 + 3 + 73 + 0 + 5 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1366563372993 and 1366563373011.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 824720580 + ... + 824722236.

Almost surely, 21366563373056 is an apocalyptic number.

1366563373056 is a gapful number since it is divisible by the number (16) 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 1366563373056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2440834276608).

1366563373056 is an abundant number, since it is smaller than the sum of its proper divisors (3515105180160).

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

1366563373056 is a wasteful number, since it uses less digits than its factorization.

1366563373056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1762 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 18370800, while the sum is 54.

The spelling of 1366563373056 in words is "one trillion, three hundred sixty-six billion, five hundred sixty-three million, three hundred seventy-three thousand, fifty-six".