Search a number
-
+
2051327811456 = 273371113675639
BaseRepresentation
bin11101110110011100101…
…010100101111110000000
321021002211120011211111000
4131312130222211332000
5232102104404431311
64210211134052000
7301126546463160
oct35663452457600
97232746154430
102051327811456
11720a66087280
1229168964a000
1311b593428b41
14713db6a05a0
153855e208056
hex1dd9caa5f80

2051327811456 has 512 divisors, whose sum is σ = 7555037184000. Its totient is φ = 532328232960.

The previous prime is 2051327811383. The next prime is 2051327811457. The reversal of 2051327811456 is 6541187231502.

2051327811456 is a `hidden beast` number, since 2 + 0 + 513 + 2 + 7 + 81 + 1 + 4 + 56 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2051327811457) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 363772285 + ... + 363777923.

It is an arithmetic number, because the mean of its divisors is an integer number (14755932000).

Almost surely, 22051327811456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2051327811456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3777518592000).

2051327811456 is an abundant number, since it is smaller than the sum of its proper divisors (5503709372544).

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

2051327811456 is a wasteful number, since it uses less digits than its factorization.

2051327811456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7047 (or 7029 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 2051327811456 in words is "two trillion, fifty-one billion, three hundred twenty-seven million, eight hundred eleven thousand, four hundred fifty-six".