Search a number
-
+
51361019136000 = 21134537250549
BaseRepresentation
bin10111010110110011010110…
…10011010000100000000000
320201212001202201202222220000
423223121223103100200000
523212444331344323000
6301122532040520000
713550465635251300
oct1353315323204000
9221761681688800
1051361019136000
11154020a43612a2
125916139480000
132287428454842
14c97c5ab35600
155e10409e9000
hex2eb66b4d0800

51361019136000 has 1440 divisors, whose sum is σ = 222720344847000. Its totient is φ = 11739429273600.

The previous prime is 51361019135981. The next prime is 51361019136001. The reversal of 51361019136000 is 63191016315.

51361019136000 is a `hidden beast` number, since 5 + 1 + 3 + 610 + 1 + 9 + 1 + 36 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22235223499776 + 29125795636224 = 4715424^2 + 5396832^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (51361019136001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1016038726 + ... + 1016089274.

Almost surely, 251361019136000 is an apocalyptic number.

51361019136000 is a gapful number since it is divisible by the number (50) 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 51361019136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111360172423500).

51361019136000 is an abundant number, since it is smaller than the sum of its proper divisors (171359325711000).

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

51361019136000 is an equidigital number, since it uses as much as digits as its factorization.

51361019136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50612 (or 50566 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The spelling of 51361019136000 in words is "fifty-one trillion, three hundred sixty-one billion, nineteen million, one hundred thirty-six thousand".